求50道初二上册数学因式分解题和一份《十二章,轴对称》的试题(人教版) 初二数学因式分解练习题50道

\u6c4250\u9053\u521d\u4e8c\u56e0\u5f0f\u5206\u89e3\u6570\u5b66\u9898\u548c50\u9053\u521d\u4e8c\u5206\u5f0f\u52a0\u51cf\u6cd5 \u6570\u5b66\u9898

\u3000\u30001\uff0e\u5206\u89e3\u56e0\u5f0f(1+y)^2-2x^2(1+y^2)+x^4(1-y)^2\uff0e

\u3000\u3000\u89e3\uff1a\u539f\u5f0f=(1+y)^2+2(1+y)x^2(1-y)+x^4(1-y)^2-2(1+y)x^2(1-y)-2x^2(1+y^2)\uff08\u8865\u9879\uff09

\u3000\u3000=[(1+y)+x^2(1-y)]^2-2(1+y)x^2(1-y)-2x^2(1+y^2)\uff08\u5b8c\u5168\u5e73\u65b9\uff09

\u3000\u3000=[(1+y)+x^2(1-y)]^2-(2x)^2

\u3000\u3000=[(1+y)+x^2(1-y)+2x][(1+y)+x^2(1-y)-2x]

\u3000\u3000=(x^2-x^2y+2x+y+1)(x^2-x^2y-2x+y+1)

\u3000\u3000=[(x+1)^2-y(x^2-1)][(x-1)^2-y(x^2-1)]

\u3000\u3000=(x+1)(x+1-xy+y)(x-1)(x-1-xy-y)\uff0e

\u3000\u30002\uff0e\u6c42\u8bc1\uff1a\u5bf9\u4e8e\u4efb\u4f55\u5b9e\u6570x,y\uff0c\u4e0b\u5f0f\u7684\u503c\u90fd\u4e0d\u4f1a\u4e3a33\uff1a

\u3000\u3000x^5+3x^4y-5x^3y^2-15x^2y^3+4xy^4+12y^5\uff0e

\u3000\u3000\u89e3\uff1a\u539f\u5f0f=(x^5+3x^4y)-(5x^3y^2+15x^2y^3)+(4xy^4+12y^5)

\u3000\u3000=x^4(x+3y)-5x^2y^2(x+3y)+4y^4(x+3y)

\u3000\u3000=(x+3y)(x^4-5x^2y^2+4y^4)

\u3000\u3000=(x+3y)(x^2-4y^2)(x^2-y^2)

\u3000\u3000=(x+3y)(x+y)(x-y)(x+2y)(x-2y)\uff0e

\u3000\u3000\u5f53y=0\u65f6\uff0c\u539f\u5f0f=x^5\u4e0d\u7b49\u4e8e33\uff1b\u5f53y\u4e0d\u7b49\u4e8e0\u65f6\uff0cx+3y\uff0cx+y\uff0cx-y\uff0cx+2y\uff0cx-2y\u4e92\u4e0d\u76f8\u540c\uff0c\u800c33\u4e0d\u80fd\u5206\u6210\u56db\u4e2a\u4ee5\u4e0a\u4e0d\u540c\u56e0\u6570\u7684\u79ef\uff0c\u6240\u4ee5\u539f\u547d\u9898\u6210\u7acb\u3002

\u3000\u30003\uff0e\uff0e\u25b3ABC\u7684\u4e09\u8fb9a\u3001b\u3001c\u6709\u5982\u4e0b\u5173\u7cfb\u5f0f\uff1a-c^2+a^2+2ab-2bc=0\uff0c\u6c42\u8bc1\uff1a\u8fd9\u4e2a\u4e09\u89d2\u5f62\u662f\u7b49\u8170\u4e09\u89d2\u5f62\u3002

\u3000\u3000\u5206\u6790\uff1a\u6b64\u9898\u5b9e\u8d28\u4e0a\u662f\u5bf9\u5173\u7cfb\u5f0f\u7684\u7b49\u53f7\u5de6\u8fb9\u7684\u591a\u9879\u5f0f\u8fdb\u884c\u56e0\u5f0f\u5206\u89e3\u3002

\u3000\u3000\u8bc1\u660e\uff1a\u2235-c^2+a^2+2ab-2bc=0\uff0c

\u3000\u3000\u2234(a+c)(a-c)+2b(a-c)=0\uff0e

\u3000\u3000\u2234(a-c)(a+2b+c)=0\uff0e

\u3000\u3000\u2235a\u3001b\u3001c\u662f\u25b3ABC\u7684\u4e09\u6761\u8fb9\uff0c

\u3000\u3000\u2234a+2b+c>0\uff0e

\u3000\u3000\u2234a\uff0dc=0\uff0c

\u3000\u3000\u5373a=c\uff0c\u25b3ABC\u4e3a\u7b49\u8170\u4e09\u89d2\u5f62\u3002

\u3000\u30004\uff0e\u628a-12x^2n\u00d7y^n+18x^(n+2)y^(n+1)-6x^n\u00d7y^(n-1)\u5206\u89e3\u56e0\u5f0f\u3002

\u3000\u3000\u89e3\uff1a-12x^2n\u00d7y^n+18x^(n+2)y^(n+1)-6x^n\u00d7y^(n-1)

\u3000\u3000=-6x^n\u00d7y^(n-1)(2x^n\u00d7y-3x^2y^2+1)\uff0e
\u3000\u3000\u4e00\u3001\u586b\u7a7a\u9898(10\u00d73'=30')
\u3000\u30001\u3001\u8ba1\u7b973\u00d7103-104=_________
\u3000\u30002\u3001\u5206\u89e3\u56e0\u5f0f x3y-x2y2+2xy3=xy(_________)
\u3000\u30003\u3001\u5206\u89e3\u56e0\u5f0f \u20139a2+ =________
\u3000\u30004\u3001\u5206\u89e3\u56e0\u5f0f 4x2-4xy+y2=_________
\u3000\u30005\u3001\u5206\u89e3\u56e0\u5f0f x2-5y+xy-5x=__________
\u3000\u30006\u3001\u5f53k=_______\u65f6\uff0c\u4e8c\u6b21\u4e09\u9879\u5f0fx2-kx+12\u5206\u89e3\u56e0\u5f0f\u7684\u7ed3\u679c\u662f(x-4)(x-3)
\u3000\u30007\u3001\u5206\u89e3\u56e0\u5f0f x2+3x-4=________
\u3000\u30008\u3001\u5df2\u77e5\u77e9\u5f62\u4e00\u8fb9\u957f\u662fx+5\uff0c\u9762\u79ef\u4e3ax2+12x+35,\u5219\u53e6\u4e00\u8fb9\u957f\u662f_________
\u3000\u30009\u3001\u82e5a+b=-4,ab= ,\u5219a2+b2=_________
\u3000\u300010\u3001\u5316\u7b801+x+x(1+x)+x(1+x)2+\u2026+x(1+x)1995=________
\u3000\u3000\u4e8c\u3001\u9009\u62e9\u9898(12\u00d73'=36')
\u3000\u30001\u3001\u4e0b\u5217\u5404\u5f0f\u4ece\u5de6\u5230\u53f3\u7684\u53d8\u5f62\uff0c\u662f\u56e0\u5f0f\u5206\u89e3\u7684\u662f( )
\u3000\u3000A\u3001m(a+b)=ma+mb B\u3001ma+mb+1=m(a+b)+1
\u3000\u3000C\u3001(a+3)(a-2)=a2+a-6 D\u3001x2-1=(x+1)(x-1)
\u3000\u30002\u3001\u82e5y2-2my+1\u662f\u4e00\u4e2a\u5b8c\u5168\u5e73\u65b9\u5f0f\uff0c\u5219m\u7684\u503c\u662f( )
\u3000\u3000A\u3001m=1 B\u3001m=-1 C\u3001m=0 D\u3001m=\u00b11
\u3000\u30003\u3001\u628a-a(x-y)-b(y-x)+c(x-y)\u5206\u89e3\u56e0\u5f0f\u6b63\u786e\u7684\u7ed3\u679c\u662f( )
\u3000\u3000A\u3001(x-y)(-a-b+c) B\u3001(y-x)(a-b-c)
\u3000\u3000C\u3001-(x-y)(a+b-c) D\u3001-(y-x)(a+b-c)
\u3000\u30004\u3001-(2x-y)(2x+y)\u662f\u4e0b\u5217\u54ea\u4e00\u4e2a\u591a\u9879\u5f0f\u5206\u89e3\u56e0\u5f0f\u540e\u6240\u5f97\u7684\u7b54\u6848( )
\u3000\u3000A\u30014x2-y2 B\u30014x2+y2 C\u3001-4x2-y2 D\u3001-4x2+y2
\u3000\u30005\u3001m-n+ \u662f\u4e0b\u5217\u54ea\u4e2a\u591a\u9879\u5f0f\u7684\u4e00\u4e2a\u56e0\u5f0f( )
\u3000\u3000A\u3001(m-n)2+ (m-n)+ B\u3001(m-n)2+ (m-n)+
\u3000\u3000C\u3001(m-n)2- (m-n)+ D\u3001(m-n)2- (m-n)+
\u3000\u30006\u3001\u5206\u89e3\u56e0\u5f0fa4-2a2b2+b4\u7684\u7ed3\u679c\u662f( )
\u3000\u3000A\u3001a2(a2-2b2)+b4 B\u3001(a-b)2
\u3000\u3000C\u3001(a-b)4 D\u3001(a+b)2(a-b)2
\u3000\u30007\u3001\u4e0b\u5217\u591a\u9879\u5f0f(1) a2+b2 (2)a2-ab+b2 (3)(x2+y2)2-x2y2
\u3000\u3000(4)x2-9 (5)2x2+8xy+8y2\uff0c\u5176\u4e2d\u80fd\u7528\u516c\u5f0f\u6cd5\u5206\u89e3\u56e0\u5f0f\u7684\u4e2a\u6570\u6709( )
\u3000\u3000A\u30012\u4e2a B\u30013\u4e2a C\u30014\u4e2a D\u30015\u4e2a
\u3000\u30008\u3001\u628a\u591a\u9879\u5f0f4x2-2x-y2-y\u7528\u5206\u7ec4\u5206\u89e3\u6cd5\u5206\u89e3\u56e0\u5f0f\uff0c\u6b63\u786e\u7684\u5206\u7ec4\u65b9\u6cd5\u5e94\u8be5\u662f( )
\u3000\u3000A\u3001(4x2-y)-(2x+y2) B\u3001(4x2-y2)-(2x+y)
\u3000\u3000C\u30014x2-(2x+y2+y) D\u3001(4x2-2x)-(y2+y)
\u3000\u30009\u3001\u4e0b\u5217\u591a\u9879\u5f0f\u5df2\u7ecf\u8fdb\u884c\u4e86\u5206\u7ec4\uff0c\u80fd\u63a5\u4e0b\u53bb\u5206\u89e3\u56e0\u5f0f\u7684\u6709( )
\u3000\u3000(1) (m3+m2-m)-1 (2) \u20134b2+(9a2-6ac+c2)
\u3000\u3000(3) (5x2+6y)+(15x+2xy) (4)(x2-y2)+(mx+my)
\u3000\u3000A\u30011\u4e2a B\u30012\u4e2a C\u30013\u4e2a D\u30014\u4e2a
\u3000\u300010\u3001\u5c06x2-10x-24\u5206\u89e3\u56e0\u5f0f\uff0c\u5176\u4e2d\u6b63\u786e\u7684\u662f( )
\u3000\u3000A (x+2)(x-12) B(x+4)(x-6)
\u3000\u3000C(x-4)(x-6) D(x-2)(x+12)
\u3000\u300011\u3001\u5c06x2-5x+m\u6709\u4e00\u4e2a\u56e0\u5f0f\u662f(x+1)\uff0c\u5219m\u7684\u503c\u662f( )
\u3000\u3000A\u30016 B\u3001-6 C\u30014 D\u3001-4
\u3000\u300012\u3001\u5df2\u77e5x2+ax-12\u80fd\u5206\u89e3\u6210\u4e24\u4e2a\u6574\u7cfb\u6570\u7684\u4e00\u6b21\u56e0\u5f0f\u7684\u4e58\u79ef\uff0c\u5219\u7b26\u5408\u6761\u4ef6\u7684\u6574\u6570a\u7684\u4e2a\u6570\u662f( )
\u3000\u3000A\u30013\u4e2a B\u30014\u4e2a C\u30016\u4e2a D\u30018\u4e2a
\u3000\u3000\u4e09\u3001\u5206\u89e3\u56e0\u5f0f(6\u00d75'=30')
\u3000\u30001\u3001x-xy2 2\u3001
\u3000\u3000
\u3000\u30003\u3001x3+x2y-xy2-y3 4\u30011-m2-n2+2mn
\u3000\u3000
\u3000\u30005\u3001(x2+x)2-8(x2+x)+12 6\u3001x4+x2y2+y4
\u3000\u3000
\u3000\u3000\u56db\u3001\u5df2\u77e5\u957f\u65b9\u5f62\u5468\u957f\u4e3a300\u5398\u7c73\uff0c\u4e24\u90bb\u8fb9\u5206\u522b\u4e3ax\u5398\u7c73\u3001y\u5398\u7c73\uff0c\u4e14x3+x2y-4xy2-4y3=0\uff0c\u6c42\u957f\u65b9\u5f62\u7684\u9762\u79ef\u3002(6')
\u3000\u3000

\u3000\u3000\u4e94\u3001\u5206\u89e3\u56e0\u5f0f(x2+5x+3)(x2+5x-23)+k=(x2+5x-10)2\u540e\uff0c\u6c42k\u7684\u503c\u3002(6')
\u3000\u3000\u516d\u3001\u5df2\u77e5\u5173\u4e8ex\u7684\u4e8c\u6b21\u4e09\u9879\u5f0fx2+mx+n\u6709\u4e00\u4e2a\u56e0\u5f0f(x+5)\uff0c\u4e14m+n=17\uff0c\u8bd5\u6c42m\u3001n\u7684\u503c\u3002(6')
\u3000\u3000
\u3000\u3000\u4e03\u3001\u8bbe\u591a\u9879\u5f0fA=(a2+1)(b2+1)-4ab
\u3000\u3000(1)\u8bd5\u5c06\u591a\u9879\u5f0f\u5199\u6210\u4e24\u4e2a\u975e\u8d1f\u6570\u7684\u548c\u7684\u5f62\u5f0f\u3002
\u3000\u3000(2)\u4ee4A=0\uff0c\u6c42a\u3001b\u7684\u503c\u3002 (6')
\u3000\u3000\u4e00\u3001\u9009\u62e9
\u3000\u30001.\u4e0b\u5217\u5404\u5f0f\u7531\u5de6\u5230\u53f3\u53d8\u5f62\u4e2d\uff0c\u662f\u56e0\u5f0f\u5206\u89e3\u7684\u662f\uff08 \uff09
\u3000\u3000A.a(x+y)=ax+ay B. x2-4x+4=x(x-4)+4
\u3000\u3000C. 10x2-5x=5x(2x-1) D. x2-16+3x=(x-4)(x+4)+3x
\u3000\u30002.\u4e0b\u5217\u5404\u5f0f\u4e2d\uff0c\u80fd\u7528\u63d0\u516c\u56e0\u5f0f\u5206\u89e3\u56e0\u5f0f\u7684\u662f\uff08 \uff09
\u3000\u3000A. x2-y B. x2+2x C. x2+y2 D. x2-xy+1
\u3000\u30003.\u591a\u9879\u5f0f6x3y2-3x2y2-18x2y3\u5206\u89e3\u56e0\u5f0f\u65f6\uff0c\u5e94\u63d0\u53d6\u7684\u516c\u56e0\u5f0f\u662f\uff08 \uff09
\u3000\u3000A. 3x2y B.3xy2 C. 3x2y2 D.3x3y3
\u3000\u30004.\u591a\u9879\u5f0fx3+x2\u63d0\u53d6\u516c\u56e0\u5f0f\u540e\u5269\u4e0b\u7684\u56e0\u5f0f\u662f\uff08 \uff09
\u3000\u3000A. x+1 B.x2 C. x D. x2+1
\u3000\u30005.\u4e0b\u5217\u53d8\u5f62\u9519\u8bef\u7684\u662f\uff08 \uff09
\u3000\u3000A.-x-y=-(x+y) B.(a-b)(b-c)= - (b-a)(b-c) C. \u2013x-y+z=-(x+y+z) D.(a-b)2=(b-a)2
\u3000\u30006.\u4e0b\u5217\u5404\u5f0f\u4e2d\u80fd\u7528\u5e73\u65b9\u5dee\u516c\u5f0f\u56e0\u5f0f\u5206\u89e3\u7684\u662f\uff08 \uff09
\u3000\u3000A. \u2013x2y2 B.x2+y2 C.-x2+y2 D.x-y
\u3000\u30007.\u4e0b\u5217\u5206\u89e3\u56e0\u5f0f\u9519\u8bef\u7684\u662f\uff08 \uff09
\u3000\u3000A. 1-16a2=(1+4a)(1-4a) B. x3-x=x(x2-1)
\u3000\u3000C.a2-b2c2=(a+bc)(a-bc) D.m2-0.01=(m+0.1)(m-0.1)
\u3000\u30008.\u4e0b\u5217\u591a\u9879\u5f0f\u4e2d\uff0c\u80fd\u7528\u516c\u5f0f\u6cd5\u5206\u89e3\u56e0\u5f0f\u7684\u662f\uff08 \uff09
\u3000\u3000A.x2\uff0dxy\u3000\u3000\u3000 B. x2\uff0bxy C. x2\uff0dy2 \u3000 D. x2\uff0by2
\u3000\u3000\u4e8c\u3001\u586b\u7a7a
\u3000\u30009.a2b+ab2-ab=ab(__________).
\u3000\u300010.-7ab+14a2-49ab2=-7a(________).
\u3000\u300011.3(y-x)2+2(x-y)=___________
\u3000\u300012.x(a-1)(a-2)-y(1-a)(2-a)=____________.
\u3000\u300013.-a2+b2=(a+b)(______)
\u3000\u300014.1-a4=___________
\u3000\u300015.992-1012=________
\u3000\u300016.x2+x+____=(______)2
\u3000\u300017.\u82e5a+b=1,x-y=2,\u5219a2+2ab+b2-x+y=____\u3002
\u3000\u3000\u4e09\u3001\u89e3\u7b54
\u3000\u300018.\u56e0\u5f0f\u5206\u89e3\uff1a
\u3000\u3000\u2460

\u3000\u3000\u2461
\u3000\u3000
\u3000\u3000\u2462
\u3000\u3000\u24632a2b2-4ab+2
\u3000\u3000
\u3000\u3000\u2464(x2+y2)2-4x2y2
\u3000\u3000
\u3000\u3000\u2465(x+y)2-4(x+y-1)
\u3000\u300019.\u5df2\u77e5a+b-c=3,\u6c422a+2b-2c\u7684\u503c\u3002
\u3000\u300020\u3001\u5df2\u77e5\uff0c2x2-Ax+B=2(x2+4x-1),\u8bf7\u95eeA\u3001B\u7684\u503c\u662f\u591a\u5c11\uff1f
\u3000\u3000
\u3000\u300021\u3001\u82e52x2+mx-1\u80fd\u5206\u89e3\u4e3a(2x+1)(x-1),\u6c42m\u7684\u503c\u3002
\u3000\u300022.\u5df2\u77e5a+b=5,ab=7,\u6c42a2b+ab2-a-b\u7684\u503c\u3002
\u3000\u3000
\u3000\u300023. \u5df2\u77e5a2b2-8ab+4a2+b2+4=0,\u6c42ab\u7684\u503c\u3002
\u3000\u300024.\u8bf7\u95ee9910-99\u80fd\u88ab99\u6574\u9664\u5417\uff1f\u8bf4\u660e\u7406\u7531\u3002
\u3000\u3000
\u3000\u3000\u53c2\u8003\u7b54\u6848
\u3000\u3000\u4e00\u3001\u9009\u62e91. C 2. B 3.C 4.A 5.C 6. C 7. B 8. C
\u3000\u3000\u4e8c\u3001\u586b\u7a7a
\u3000\u30009. a+b-1\uff1b 10.b-2a+7b2 11. (x-y)(3x-3y+2) 12. (a-1)(a-2)(x-y)
\u3000\u300013. b-a 14. (1+a)(1-a)(1+a2) 15.-400 16. 17. -1
\u3000\u3000\u89e3\u7b54\u9898
\u3000\u300018. \u89e3\uff1a\u2460\u539f\u5f0f=-4x(x2-4x+6)
\u3000\u3000\u2461\u539f\u5f0f=8a(a-b)2+12(a-b)3=4(a-b)2(2a+3a-3b)=4(a-b)2(5a-3b)
\u3000\u3000\u2462\u539f\u5f0f=2am-1(a2+2a-1)
\u3000\u3000\u2463\u539f\u5f0f=2(a2b2-2ab+1)=2(ab-1)2.
\u3000\u3000\u2464\u539f\u5f0f=( x2+y2+2xy)(x2+y2-2xy)=(x+y)2(x-y)2
\u3000\u3000\u2465\u539f\u5f0f=(x+y)2-4(x+y)+4=(x+y-2)2
\u3000\u300019. \u89e3\uff1a2a+2b-2c=2(a+b-c)=2\u00d73=6.
\u3000\u300020\u3001\u89e3\uff1a2x2-Ax+B=2(x2+4x-1)= 2x2+8x-2
\u3000\u3000\u6240\u4ee5A=-8\uff0cB=-2.
\u3000\u300021\u3001\u89e3\uff1a2x2+mx-1=(2x+1)(x-1)= 2x2-x-1\u6240\u4ee5mx=-x
\u3000\u3000\u5373m=-1.
\u3000\u300022. \u89e3\uff1aa2b+ab2-a-b
\u3000\u3000=ab(a+b)-(a+b)
\u3000\u3000=(a+b)(ab-1)
\u3000\u3000\u628aa+b=5,ab=7\u4ee3\u5165\u4e0a\u5f0f\uff0c\u539f\u5f0f=30.
\u3000\u300023. \u89e3\uff1a\u5c06a2b2-8ab+4a2+b2+4=0\u53d8\u5f62\u5f97
\u3000\u3000a2b2-4ab+4+4a2-4ab+b2=0\uff1b(ab-2)2+(2a-b)2=0
\u3000\u3000\u6240\u4ee5ab=2\uff0c2a=b\u89e3\u5f97\uff1aa=\u00b11,b=\u00b12.
\u3000\u3000\u6240\u4ee5ab=2\u6216ab= -2.
\u3000\u300024. \u89e3\uff1a9910-99=99(999-1)
\u3000\u3000\u6240\u4ee59910-99\u80fd\u88ab99\u6574\u9664\uff0c\u7ed3\u679c\u4e3a999-1.
\u3000\u300050\u9053\u521d\u4e8c\u56e0\u5f0f\u5206\u89e3\u6570\u5b66\u9898\uff1a
\u3000\u3000http://wenku.baidu.com/view/d5cb58323968011ca30091ff.html

\u3000\u3000\u4e00 \u3001\u9009\u62e9\u9898:(\u6bcf\u5c0f\u98984\u5206,\u51718\u5206)
\u3000\u30001.\u4e0b\u5217\u5404\u5f0f\u8ba1\u7b97 \u6b63\u786e\u7684\u662f( )
\u3000\u3000A. B. C. D.
\u3000\u30002. \u5316\u7b80 +1\u7b49\u4e8e( )
\u3000\u3000A. B. C. D.
\u3000\u30003. \u82e5a\uff0db=2ab\uff0c\u5219 \u7684\u503c\u4e3a( )
\u3000\u3000A. B.\uff0d C.2 D.\uff0d2
\u3000\u30004. \u82e5 \uff0c\u5219M\u3001N\u7684\u503c \u5206\u522b\u4e3a( )
\u3000\u3000A.M= \uff0d 1\uff0cN = \uff0d2 B.M = \uff0d2\uff0cN = \uff0d 1 C.M=1\uff0c N=2 D.M=2\uff0cN=1
\u3000\u30005.\u82e5x2+x\uff0d2=0\uff0c\u5219x2+x\uff0d \u7684\u503c\u4e3a( )
\u3000\u3000A. B. C.2 D.\uff0d
\u3000\u3000\u4e8c\u3001\u586b\u7a7a\u9898:(\u6bcf\u5c0f\u98984\u5206,\u51718\u5206)
\u3000\u30001. \u8ba1\u7b97\uff1a =________.
\u3000\u30002. \u5df2\u77e5x\u22600\uff0c =________.
\u3000\u30003. \u5316\u7b80\uff1ax+ =________.
\u3000\u30004. \u5982\u679cm+n=2\uff0cmn =\uff0d4\uff0c\u90a3\u4e48 \u7684\u503c\u4e3a________.
\u3000\u30005. \u7532\u3001\u4e59\u4e24\u5730\u76f8\u8dddS\u5343\u7c73\uff0c\u6c7d\u8f66\u4ece\u7532\u5730\u5230\u4e59\u5730\u6309\u6bcf\u5c0f\u65f6v\u5343\u7c73\u7684\u901f\u5ea6\u884c\u9a76\uff0c\u53ef\u6309\u65f6 \u5230\u8fbe\uff1b\u82e5\u6bcf\u5c0f\u65f6\u591a\u884c\u9a76a\u5343\u7c73\uff0c\u5219\u53ef\u63d0\u524d________\u5c0f \u65f6\u5230\u8fbe(\u4fdd\u7559\u6700\u7b80\u7ed3\u679c).
\u3000\u3000\u4e09\u3001\u89e3\u7b54\u9898:(\u517150\u5206)
\u3000\u30001 . (4\u00d75=20)\u8ba1\u7b97\uff1a(1)a+b+ (2)
\u3000\u3000( 3) (4 )(x+1\uff0d )\u00f7
\u3000\u30002. (10\u5206) \u5316\u7b80\u6c42\u503c\uff1a(2+ )\u00f7(a\uff0d )\u5176\u4e2da=2.
\u3000\u3000
\u3000\u30003. (10\u5206)\u5df2\u77e5 \uff0c\u6c42 \u7684\u503c.
\u3000\u3000
\u3000\u30004 . (10\u5206)\u4e00\u9879\u5de5\u7a0b\uff0c\u7532\u5de5\u7a0b\u961f\u5355\u72ec\u5b8c\u6210\u9700\u8981m\u5929\uff0c\u4e59\u5de5\u7a0b\u961f\u5355\u72ec\u5b8c\u6210\u6bd4\u7532\u961f\u5355\u72ec \u5b8c\u6210\u591a\u9700\u8981n\u5929\u65f6\u95f4\uff0c\u90a3\u4e48\u7532\u3001\u4e59\u5de5\u7a0b\u961f\u5408\u505a\u9700\u8981\u591a \u5c11\u5929\u80fd\u591f\u5b8c\u6210\u6b64\u9879\u5de5\u7a0b\uff1f
\u3000\u300050\u9053\u521d\u4e8c\u5206\u5f0f\u52a0\u51cf\u6cd5 \u6570\u5b66\u9898\uff1a
\u3000\u3000http://wenku.baidu.com/view/4299eb72a417866fb84a8eb9.html

(1)-6ax3y+8x2y2-2x2y
(2)3a2(x-y)3-4b2(y-x)2
(3)(x+y)(m-a)-3y(a-m)2+(a-m)3
(4)8x(a-1)-4(1-a)
(5)m(1-a)+mn(1-a)+1-a

(1)16x4-64y4
(2)16x6-1/4
(3)(a6+b4)2-4a6b4
(5)-2m8+512
(6)(x+y)3-64 \u6216m3-64n3















(1)-6ax^3y+8x^2y^2-2x^2y
=2x^2y(-3ax+4y-1)

(2)3a^2(x-y)^3-4b^2(y-x)^2
=(x-y)^2(3a^2-4b^2)
=(x-y)^2(3^0.5a+2b)(3^0.5a-2b)

(3)(x+y)(m-a)-3y(a-m)^2+(a-m)^3
=(a-m)[(a-m)^2-3y(a-m)-(x-y)]
\u6b64\u9898\u662f\u4e0d\u662f\u6709\u9519,\u6309\u7167\u9053\u7406\u540e\u9762\u8fd9\u4e00\u9879\u8fd8\u53ef\u4ee5\u518d\u5206\u89e3\u7684,\u662f\u5173\u4e8e(a-m)\u7684\u5206\u89e3\u5f0f

(4)8x(a-1)-4(1-a)
=4(a-1)(2x+1)

(5)m(1-a)+mn(1-a)+1-a
=(1-a)(m+mn+1)
\u6b64\u9898\u662f\u4e0d\u662f\u6709\u9519,\u6309\u7167\u9053\u7406\u540e\u9762\u8fd9\u4e00\u9879\u8fd8\u53ef\u4ee5\u518d\u5206\u89e3\u7684
\u4f8b\u5982:m+n+mn+1=(m+1)(n+1)

(1)16x4-64y4
=16(x^4-4y^4)
=16(x^2+2y^2)(x-2^0.5y)(x+2^0.5y)

(2)16x6-1/4
=1/4(64x^6-1)
=1/4(8x^3-1)(8x^3+1)
=1/4(2x-1)(4x^2+2x+1)(2x+1)(4x^2-2x+1)

(3)(a6+b4)2-4a6b4
=a^12+2a^6b^4+b^8-4a^6b^4
=a^12-2a^6b^4+b^8
=(a^6-b^4)^2
=(a^3+b^2)^2(a^3-b^2)^2

(5)-2m8+512
=-2(m^8-256)
=-2(m^4-16)(m^4+16)
=-2(m^2-4)(m^2+4)(m^4+16)
=-2(m-2)(m+2)(m^2+4)(m^4+16)

(6) (x+y)3-64
=(x+y-4)(x^2+2xy+y^2+4x+4y+16)

\u6216m3-64n3
=(m-4n)(m^2+4mn+16n^2)




1- 14 x2
4x \u20132 x2 \u2013 2
( x- y )3 \u2013(y- x)
x2 \u2013y2 \u2013 x + y
x2 \u2013y2 \uff0d1 ( x + y) (x \u2013 y )
x2 + 1 x2 \uff0d2\uff0d\uff08 x \uff0d1x )2
a3\uff0da2\uff0d2a
4m2\uff0d9n2\uff0d4m+1
3a2+bc\uff0d3ac-ab
9\uff0dx2+2xy\uff0dy2
2x2\uff0d3x\uff0d1
\uff0d2x2+5xy+2y2
10a(x\uff0dy)2\uff0d5b(y\uff0dx)
an+1\uff0d4an\uff0b4an-1
x3(2x\uff0dy)\uff0d2x\uff0by
x(6x\uff0d1)\uff0d1
2ax\uff0d10ay\uff0b5by\uff0b6x
1\uff0da2\uff0dab\uff0d14 b2
a4\uff0b4
(x2\uff0bx)(x2\uff0bx\uff0d3)\uff0b2
x5y\uff0d9xy5
\uff0d4x2\uff0b3xy\uff0b2y2
4a\uff0da5
2x2\uff0d4x\uff0b1
4y2\uff0b4y\uff0d5
3X2\uff0d7X+2
8xy(x\uff0dy)\uff0d2(y\uff0dx)3
x6\uff0dy6
x3\uff0b2xy\uff0dx\uff0dxy2
(x\uff0by)(x\uff0by\uff0d1)\uff0d12
4ab\uff0d\uff081\uff0da2\uff09\uff081\uff0db2\uff09
\uff0d3m2\uff0d2m\uff0b4
a2\uff0da\uff0d6
2(y\uff0dz)\uff0b81(z\uff0dy)
9m2\uff0d6m\uff0b2n\uff0dn2
ab(c2\uff0bd2)\uff0bcd(a2\uff0bb2)
a4\uff0d3a2\uff0d4
x4\uff0b4y4
a2\uff0b2ab\uff0bb2\uff0d2a\uff0d2b\uff0b1
x2\uff0d2x\uff0d4
4x2\uff0b8x\uff0d1
2x2\uff0b4xy\uff0by2
- m2 \u2013 n2 + 2mn + 1
(a + b)3d \u2013 4(a + b)2cd+4(a + b)c2d
(x + a)2 \u2013 (x \u2013 a)2
\u2013x5y \u2013 xy +2x3y
x6 \u2013 x4 \u2013 x2 + 1
(x +3) (x +2) +x2 \u2013 9
(x \u2013y)3 +9(x \u2013 y) \u20136(x \u2013 y)2
(a2 + b2 \u20131 )2 \u2013 4a2b2
(ax + by)2 + (bx \u2013 ay)2
x2 + 2ax \u2013 3a2
3a3b2c\uff0d6a2b2c2\uff0b9ab2c3
xy\uff0b6\uff0d2x\uff0d3y
x2(x\uff0dy)\uff0by2(y\uff0dx)
2x2\uff0d(a\uff0d2b)x\uff0dab
a4\uff0d9a2b2
ab(x2\uff0dy2)\uff0bxy(a2\uff0db2)
(x\uff0by)(a\uff0db\uff0dc)\uff0b(x\uff0dy)(b\uff0bc\uff0da)
a2\uff0da\uff0db2\uff0db
(3a\uff0db)2\uff0d4(3a\uff0db)(a\uff0b3b)\uff0b4(a\uff0b3b)2
(a\uff0b3)2\uff0d6(a\uff0b3)
(x\uff0b1)2(x\uff0b2)\uff0d(x\uff0b1)(x\uff0b2)2
35.\u56e0\u5f0f\u5206\u89e3x2\uff0d25\uff1d \u3002
36.\u56e0\u5f0f\u5206\u89e3x2\uff0d20x\uff0b100\uff1d \u3002
37.\u56e0\u5f0f\u5206\u89e3x2\uff0b4x\uff0b3\uff1d \u3002
38.\u56e0\u5f0f\u5206\u89e34x2\uff0d12x\uff0b5\uff1d \u3002
39.\u56e0\u5f0f\u5206\u89e3\u4e0b\u5217\u5404\u5f0f\uff1a
(1)3ax2\uff0d6ax\uff1d \u3002
(2)x(x\uff0b2)\uff0dx\uff1d \u3002
(3)x2\uff0d4x\uff0dax\uff0b4a\uff1d \u3002
(4)25x2\uff0d49\uff1d \u3002
(5)36x2\uff0d60x\uff0b25\uff1d \u3002
(6)4x2\uff0b12x\uff0b9\uff1d \u3002
(7)x2\uff0d9x\uff0b18\uff1d \u3002
(8)2x2\uff0d5x\uff0d3\uff1d \u3002
(9)12x2\uff0d50x\uff0b8\uff1d \u3002
40.\u56e0\u5f0f\u5206\u89e3(x\uff0b2)(x\uff0d3)\uff0b(x\uff0b2)(x\uff0b4)\uff1d \u3002
41.\u56e0\u5f0f\u5206\u89e32ax2\uff0d3x\uff0b2ax\uff0d3\uff1d \u3002
42.\u56e0\u5f0f\u5206\u89e39x2\uff0d66x\uff0b121\uff1d \u3002
43.\u56e0\u5f0f\u5206\u89e38\uff0d2x2\uff1d \u3002
44.\u56e0\u5f0f\u5206\u89e3x2\uff0dx\uff0b14 \uff1d \u3002
45.\u56e0\u5f0f\u5206\u89e39x2\uff0d30x\uff0b25\uff1d \u3002
46.\u56e0\u5f0f\u5206\u89e3\uff0d20x2\uff0b9x\uff0b20\uff1d \u3002
47.\u56e0\u5f0f\u5206\u89e312x2\uff0d29x\uff0b15\uff1d \u3002
48.\u56e0\u5f0f\u5206\u89e336x2\uff0b39x\uff0b9\uff1d \u3002
49.\u56e0\u5f0f\u5206\u89e321x2\uff0d31x\uff0d22\uff1d \u3002
50.\u56e0\u5f0f\u5206\u89e39x4\uff0d35x2\uff0d4\uff1d \u3002
51.\u56e0\u5f0f\u5206\u89e3(2x\uff0b1)(x\uff0b1)\uff0b(2x\uff0b1)(x\uff0d3)\uff1d \u3002
52.\u56e0\u5f0f\u5206\u89e32ax2\uff0d3x\uff0b2ax\uff0d3\uff1d \u3002
53.\u56e0\u5f0f\u5206\u89e3x(y\uff0b2)\uff0dx\uff0dy\uff0d1\uff1d \u3002
54.\u56e0\u5f0f\u5206\u89e3(x2\uff0d3x)\uff0b(x\uff0d3)2\uff1d \u3002
55.\u56e0\u5f0f\u5206\u89e39x2\uff0d66x\uff0b121\uff1d \u3002
56.\u56e0\u5f0f\u5206\u89e38\uff0d2x2\uff1d \u3002
57.\u56e0\u5f0f\u5206\u89e3x4\uff0d1\uff1d \u3002
58.\u56e0\u5f0f\u5206\u89e3x2\uff0b4x\uff0dxy\uff0d2y\uff0b4\uff1d \u3002
59.\u56e0\u5f0f\u5206\u89e34x2\uff0d12x\uff0b5\uff1d \u3002
60.\u56e0\u5f0f\u5206\u89e321x2\uff0d31x\uff0d22\uff1d \u3002
61.\u56e0\u5f0f\u5206\u89e34x2\uff0b4xy\uff0by2\uff0d4x\uff0d2y\uff0d3\uff1d \u3002
62.\u56e0\u5f0f\u5206\u89e39x5\uff0d35x3\uff0d4x\uff1d \u3002
63.\u56e0\u5f0f\u5206\u89e3\u4e0b\u5217\u5404\u5f0f\uff1a
(1)3x2\uff0d6x\uff1d \u3002
(2)49x2\uff0d25\uff1d \u3002
(3)6x2\uff0d13x\uff0b5\uff1d \u3002
(4)x2\uff0b2\uff0d3x\uff1d \u3002
(5)12x2\uff0d23x\uff0d24\uff1d \u3002
(6)(x\uff0b6)(x\uff0d6)\uff0d(x\uff0d6)\uff1d \u3002
(7)3(x\uff0b2)(x\uff0d5)\uff0d(x\uff0b2)(x\uff0d3)\uff1d \u3002
(8)9x2\uff0b42x\uff0b49\uff1d \u3002
(1)(x\uff0b2)\uff0d2(x\uff0b2)2\uff1d \u3002
(2)36x2\uff0b39x\uff0b9\uff1d \u3002
(3)2x2\uff0bax\uff0d6x\uff0d3a\uff1d \u3002
(4)22x2\uff0d31x\uff0d21\uff1d \u3002
70.\u56e0\u5f0f\u5206\u89e33ax2\uff0d6ax\uff1d \u3002
71.\u56e0\u5f0f\u5206\u89e3(x\uff0b1)x\uff0d5x\uff1d \u3002
72.\u56e0\u5f0f\u5206\u89e3(2x\uff0b1)(x\uff0d3)\uff0d(2x\uff0b1)(x\uff0d5)\uff1d
73.\u56e0\u5f0f\u5206\u89e3xy\uff0b2x\uff0d5y\uff0d10\uff1d
74.\u56e0\u5f0f\u5206\u89e3x2y2\uff0dx2\uff0dy2\uff0d6xy\uff0b4\uff1d
x3\uff0b2x2\uff0b2x\uff0b1
a2b2\uff0da2\uff0db2\uff0b1
(1)3ax2\uff0d2x\uff0b3ax\uff0d2
(x2\uff0d3x)\uff0b(x\uff0d3)2\uff0b2x\uff0d6
1)(2x\uff0b3)(x\uff0d2)\uff0b(x\uff0b1)(2x\uff0b3)
9x2\uff0d66x\uff0b121
17.\u56e0\u5f0f\u5206\u89e3
(1)8x2\uff0d18 (2)x2\uff0d(a\uff0db)x\uff0dab
18.\u56e0\u5f0f\u5206\u89e3\u4e0b\u5217\u5404\u5f0f
(1)9x4\uff0b35x2\uff0d4 (2)x2\uff0dy2\uff0d2yz\uff0dz2
(3)a(b2\uff0dc2)\uff0dc(a2\uff0db2)
19.\u56e0\u5f0f\u5206\u89e3(2x\uff0b1)(x\uff0b1)\uff0b(2x\uff0b1)(x\uff0d3)
20.\u56e0\u5f0f\u5206\u89e339x2\uff0d38x\uff0b8
21.\u5229\u7528\u56e0\u5f0f\u5206\u89e3\u6c42(6512 )2\uff0d(3412 )2\u4e4b\u503c
22.\u56e0\u5f0f\u5206\u89e3a(b2\uff0dc2)\uff0dc(a2\uff0db2)
24.\u56e0\u5f0f\u5206\u89e37(x\uff0d1)2\uff0b4(x\uff0d1)(y\uff0b2)\uff0d20(y+2)2
25.\u56e0\u5f0f\u5206\u89e3xy2\uff0d2xy\uff0d3x\uff0dy2\uff0d2y\uff0d1
26.\u56e0\u5f0f\u5206\u89e34x2\uff0d6ax\uff0b18a2
27.\u56e0\u5f0f\u5206\u89e320a3bc\uff0d9a2b2c\uff0d20ab3c
28.\u56e0\u5f0f\u5206\u89e32ax2\uff0d5x\uff0b2ax\uff0d5
29.\u56e0\u5f0f\u5206\u89e34x3\uff0b4x2\uff0d25x\uff0d25
30.\u56e0\u5f0f\u5206\u89e3(1\uff0dxy)2\uff0d(y\uff0dx)2
31.\u56e0\u5f0f\u5206\u89e3
(1)mx2\uff0dm2\uff0dx\uff0b1 (2)a2\uff0d2ab\uff0bb2\uff0d1
32.\u56e0\u5f0f\u5206\u89e3\u4e0b\u5217\u5404\u5f0f
(1)5x2\uff0d45 (2)81x3\uff0d9x (3)x2\uff0dy2\uff0d5x\uff0d5y (4)x2\uff0dy2\uff0b2yz\uff0dz2
33.\u56e0\u5f0f\u5206\u89e3\uff1axy2\uff0d2xy\uff0d3x\uff0dy2\uff0d2y\uff0d1
34.\u56e0\u5f0f\u5206\u89e3y2(x\uff0dy)\uff0bz2(y\uff0dx)
1)\u56e0\u5f0f\u5206\u89e3x2\uff0bx\uff0by2\uff0dy\uff0d2xy\uff1d
\u5f88\u9ad8\u5174\u80fd\u5e2e\u5230\u4f60~~!!\u6211\u5728\u5404\u4e2a\u5730\u65b9\u627e\u5230\u6ef4\u90fd\u4e00\u70b9\u70b9\u6253\u5230\u4e0a\u9762\u4e86\uff0c\u9009\u6211\u4e3a\u6700\u4f73\u7b54\u6848\u5594

1.(2a+3b)(a-2b)-(3a=2b)(2b-a)
2.4m的平方+8m+4
3.(x的平方+4)的平方+8x(x的平方+4)+16x的平方)
4.已知(a+2b)的平方-2a-4b+1=0,求(a+b)的2006次方
5.9a的平方-4b的平方+4bc-c的平方
6.8a的三次方b的三次方c的三次方-1
因式分解3a3b2c-6a2b2c2+9ab2c3=3ab^2 c(a^2-2ac+3c^2)
3.因式分解xy+6-2x-3y=(x-3)(y-2)
4.因式分解x2(x-y)+y2(y-x)=(x+y)(x-y)^2
5.因式分解2x2-(a-2b)x-ab=(2x-a)(x+b)
6.因式分解a4-9a2b2=a^2(a+3b)(a-3b)
7.若已知x3+3x2-4含有x-1的因式,试分解x3+3x2-4=(x-1)(x+2)^2
8.因式分解ab(x2-y2)+xy(a2-b2)=(ay+bx)(ax-by)
9.因式分解(x+y)(a-b-c)+(x-y)(b+c-a)=2y(a-b-c)
10.因式分解a2-a-b2-b=(a+b)(a-b-1)
11.因式分解(3a-b)2-4(3a-b)(a+3b)+4(a+3b)2=[3a-b-2(a+3b)]^2=(a-7b)^2
12.因式分解(a+3)2-6(a+3)=(a+3)(a-3)
13.因式分解(x+1)2(x+2)-(x+1)(x+2)2=-(x+1)(x+2)
abc+ab-4a=a(bc+b-4)
(2)16x2-81=(4x+9)(4x-9)
(3)9x2-30x+25=(3x-5)^2
(4)x2-7x-30=(x-10)(x+3)
35.因式分解x2-25=(x+5)(x-5)
36.因式分解x2-20x+100=(x-10)^2
37.因式分解x2+4x+3=(x+1)(x+3)
38.因式分解4x2-12x+5=(2x-1)(2x-5)
39.因式分解下列各式:
(1)3ax2-6ax=3ax(x-2)
(2)x(x+2)-x=x(x+1)
(3)x2-4x-ax+4a=(x-4)(x-a)
(4)25x2-49=(5x-9)(5x+9)
(5)36x2-60x+25=(6x-5)^2
(6)4x2+12x+9=(2x+3)^2
(7)x2-9x+18=(x-3)(x-6)
(8)2x2-5x-3=(x-3)(2x+1)
(9)12x2-50x+8=2(6x-1)(x-4)
40.因式分解(x+2)(x-3)+(x+2)(x+4)=(x+2)(2x-1)
41.因式分解2ax2-3x+2ax-3= (x+1)(2ax-3)
42.因式分解9x2-66x+121=(3x-11)^2
43.因式分解8-2x2=2(2+x)(2-x)
44.因式分解x2-x+14 =整数内无法分解
45.因式分解9x2-30x+25=(3x-5)^2
46.因式分解-20x2+9x+20=(-4x+5)(5x+4)
47.因式分解12x2-29x+15=(4x-3)(3x-5)
48.因式分解36x2+39x+9=3(3x+1)(4x+3)
49.因式分解21x2-31x-22=(21x+11)(x-2)
50.因式分解9x4-35x2-4=(9x^2+1)(x+2)(x-2)
51.因式分解(2x+1)(x+1)+(2x+1)(x-3)=2(x-1)(2x+1)
52.因式分解2ax2-3x+2ax-3=(x+1)(2ax-3)
53.因式分解x(y+2)-x-y-1=(x-1)(y+1)
54.因式分解(x2-3x)+(x-3)2=(x-3)(2x-3)
55.因式分解9x2-66x+121=(3x-11)^2
56.因式分解8-2x2=2(2-x)(2+x)
57.因式分解x4-1=(x-1)(x+1)(x^2+1)
58.因式分解x2+4x-xy-2y+4=(x+2)(x-y+2)
59.因式分解4x2-12x+5=(2x-1)(2x-5)
60.因式分解21x2-31x-22=(21x+11)(x-2)
61.因式分解4x2+4xy+y2-4x-2y-3=(2x+y-3)(2x+y+1)
62.因式分解9x5-35x3-4x=x(9x^2+1)(x+2)(x-2)
63.因式分解下列各式:
(1)3x2-6x=3x(x-2)
(2)49x2-25=(7x+5)(7x-5)
(3)6x2-13x+5=(2x-1)(3x-5)
(4)x2+2-3x=(x-1)(x-2)
(5)12x2-23x-24=(3x-8)(4x+3)
(6)(x+6)(x-6)-(x-6)=(x-6)(x+5)
(7)3(x+2)(x-5)-(x+2)(x-3)=2(x-6)(x+2)
(8)9x2+42x+49=(3x+7)^2 。

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