急!!急求50道因式分解题 急求200道因式分解题(或整式的乘除)及答案

\u56e0\u5f0f\u5206\u89e3\u8ba1\u7b97\u989820\u9053\uff0c\u8981\u8fc7\u7a0b\uff0c\u6025\u6c42\uff0c

\u4ee5\u4e0b\u5e94\u8be5\u591f\u7528\u7684\u4e86!!

1.(3a\uff0db)2\uff0d4(3a\uff0db)(a\uff0b3b)\uff0b4(a\uff0b3b)2\uff1d[3a-b-2(a+3b)]^2=(a-7b)^2
2.(a\uff0b3)2\uff0d6(a\uff0b3)\uff1d(a+3)(a-3)
3(x\uff0b1)2(x\uff0b2)\uff0d(x\uff0b1)(x\uff0b2)2\uff1d-(x+1)(x+2)
4.abc\uff0bab\uff0d4a\uff1da(bc+b-4)
5.16x2\uff0d81\uff1d(4x+9)(4x-9)
6.9x2\uff0d30x\uff0b25\uff1d(3x-5)^2
7.x2\uff0d7x\uff0d30\uff1d(x-10)(x+3)
8.x2\uff0d25\uff1d(x+5)(x-5)
9.x2\uff0d20x\uff0b100\uff1d(x-10)^2
10.x2\uff0b4x\uff0b3\uff1d(x+1)(x+3)
11.4x2\uff0d12x\uff0b5\uff1d(2x-1)(2x-5)
12.3ax2\uff0d6ax\uff1d3ax(x-2)
13.x(x\uff0b2)\uff0dx\uff1dx(x+1)
14.x2\uff0d4x\uff0dax\uff0b4a\uff1d(x-4)(x-a)
15.25x2\uff0d49\uff1d(5x-9)(5x+9)
16.36x2\uff0d60x\uff0b25\uff1d(6x-5)^2
17.4x2\uff0b12x\uff0b9\uff1d(2x+3)^2
18.x2\uff0d9x\uff0b18\uff1d(x-3)(x-6)
19.2x2\uff0d5x\uff0d3\uff1d(x-3)(2x+1)
20.12x2\uff0d50x\uff0b8\uff1d2(6x-1)(x-4)
21.(x\uff0b2)(x\uff0d3)\uff0b(x\uff0b2)(x\uff0b4)\uff1d(x+2)(2x-1)
22.2ax2\uff0d3x\uff0b2ax\uff0d3\uff1d (x+1)(2ax-3)
23.9x2\uff0d66x\uff0b121\uff1d(3x-11)^2
24.8\uff0d2x2\uff1d2(2+x)(2-x)
25.x2\uff0dx\uff0b14 \uff1d\u6574\u6570\u5185\u65e0\u6cd5\u5206\u89e3
26.9x2\uff0d30x\uff0b25\uff1d(3x-5)^2
27.\uff0d20x2\uff0b9x\uff0b20\uff1d(-4x+5)(5x+4)
28.12x2\uff0d29x\uff0b15\uff1d(4x-3)(3x-5)
29.36x2\uff0b39x\uff0b9\uff1d3(3x+1)(4x+3)
30.21x2\uff0d31x\uff0d22\uff1d(21x+11)(x-2)
31.9x4\uff0d35x2\uff0d4\uff1d(9x^2+1)(x+2)(x-2)
32.(2x\uff0b1)(x\uff0b1)\uff0b(2x\uff0b1)(x\uff0d3)\uff1d2(x-1)(2x+1)
33.2ax2\uff0d3x\uff0b2ax\uff0d3\uff1d(x+1)(2ax-3)
34.x(y\uff0b2)\uff0dx\uff0dy\uff0d1\uff1d(x-1)(y+1)
35.(x2\uff0d3x)\uff0b(x\uff0d3)2\uff1d(x-3)(2x-3)
36.9x2\uff0d66x\uff0b121\uff1d(3x-11)^2
37.8\uff0d2x2\uff1d2(2-x)(2+x)
38.x4\uff0d1\uff1d(x-1)(x+1)(x^2+1)
39.x2\uff0b4x\uff0dxy\uff0d2y\uff0b4\uff1d(x+2)(x-y+2)
40.4x2\uff0d12x\uff0b5\uff1d(2x-1)(2x-5)
41.21x2\uff0d31x\uff0d22\uff1d(21x+11)(x-2)
42.3x2\uff0d6x\uff1d3x(x-2)
43.49x2\uff0d25\uff1d(7x+5)(7x-5)
44.6x2\uff0d13x\uff0b5\uff1d(2x-1)(3x-5)
45.x2\uff0b2\uff0d3x\uff1d(x-1)(x-2)
46.12x2\uff0d23x\uff0d24\uff1d(3x-8)(4x+3)
47.(x\uff0b6)(x\uff0d6)\uff0d(x\uff0d6)\uff1d(x-6)(x+5)
48.3(x\uff0b2)(x\uff0d5)\uff0d(x\uff0b2)(x\uff0d3)\uff1d2(x-6)(x+2)
49.9x2\uff0b42x\uff0b49\uff1d(3x+7)^2 \u3002
\u8fd8\u6709\u8fd9; http://wenku.baidu.com/view/e9929a3d5727a5e9856a61e4.html

\u5341\u5b57\u76f8\u4e58\u6cd5\u770b\u8fd9 http://baike.baidu.com/view/198055.htm

\u5e0c\u671b\u5bf9\u4f60\u6709\u5e2e\u52a9\uff0c\u4e0d\u61c2\u8fd8\u53ef\u95ee\uff0c\u6ee1\u610f\u8bf7\u53ca\u65f6\u91c7\u7eb3\uff01\u795d\u4f60\u5b66\u4e60\u8fdb\u6b65\uff01o(\u2229_\u2229)o

.\u628a\u4e0b\u5217\u5404\u5f0f\u5206\u89e3\u56e0\u5f0f
\uff081\uff0912a3b2\uff0d9a2b+3ab;
\uff082\uff09a\uff08x+y\uff09\uff0d\uff08a\uff0db\uff09\uff08x+y\uff09;
\uff083\uff09121x2\uff0d144y2;
\uff084\uff094\uff08a\uff0db\uff092\uff0d\uff08x\uff0dy\uff092;
\uff085\uff09\uff08x\uff0d2\uff092+10\uff08x\uff0d2\uff09+25;
\uff086\uff09a3\uff08x+y\uff092\uff0d4a3c2.
2.\u7528\u7b80\u4fbf\u65b9\u6cd5\u8ba1\u7b97
\uff081\uff096.42\uff0d3.62;
\uff082\uff0921042\uff0d1042
\uff083\uff091.42\u00d79\uff0d2.32\u00d736



\u7b2c\u4e8c\u7ae0 \u5206\u89e3\u56e0\u5f0f\u7efc\u5408\u7ec3\u4e60
\u4e00\u3001\u9009\u62e9\u9898
1.\u4e0b\u5217\u5404\u5f0f\u4e2d\u4ece\u5de6\u5230\u53f3\u7684\u53d8\u5f62\uff0c\u662f\u56e0\u5f0f\u5206\u89e3\u7684\u662f\uff08 \uff09
(A)(a+3)(a-3)=a2-9 (B)x2+x-5=(x-2)(x+3)+1
(C)a2b+ab2=ab(a+b) (D)x2+1=x(x+ )
2.\u4e0b\u5217\u5404\u5f0f\u7684\u56e0\u5f0f\u5206\u89e3\u4e2d\u6b63\u786e\u7684\u662f\uff08 \uff09
(A)-a2+ab-ac= -a(a+b-c) (B)9xyz-6x2y2=3xyz(3-2xy)
(C)3a2x-6bx+3x=3x(a2-2b) (D) xy2+ x2y= xy(x+y)
3.\u628a\u591a\u9879\u5f0fm2(a-2)+m(2-a)\u5206\u89e3\u56e0\u5f0f\u7b49\u4e8e\uff08 \uff09
(A)(a-2)(m2+m) (B)(a-2)(m2-m) (C)m(a-2)(m-1) (D)m(a-2)(m+1)
4.\u4e0b\u5217\u591a\u9879\u5f0f\u80fd\u5206\u89e3\u56e0\u5f0f\u7684\u662f\uff08 \uff09
(A)x2-y (B)x2+1 (C)x2+y+y2 (D)x2-4x+4
5.\u4e0b\u5217\u591a\u9879\u5f0f\u4e2d\uff0c\u4e0d\u80fd\u7528\u5b8c\u5168\u5e73\u65b9\u516c\u5f0f\u5206\u89e3\u56e0\u5f0f\u7684\u662f\uff08 \uff09
(A) (B) (C) (D)
6.\u591a\u9879\u5f0f4x2+1\u52a0\u4e0a\u4e00\u4e2a\u5355\u9879\u5f0f\u540e\uff0c\u4f7f\u5b83\u80fd\u6210\u4e3a\u4e00\u4e2a\u6574\u5f0f\u7684\u5b8c\u5168\u5e73\u65b9\uff0c\u5219\u52a0\u4e0a\u7684\u5355\u9879\u5f0f\u4e0d\u53ef\u4ee5\u662f\uff08 \uff09
(A)4x (B)-4x (C)4x4 (D)-4x4
7.\u4e0b\u5217\u5206\u89e3\u56e0\u5f0f\u9519\u8bef\u7684\u662f\uff08 \uff09
(A)15a2+5a=5a(3a+1) (B)-x2-y2= -(x2-y2)= -(x+y)(x-y)
(C)k(x+y)+x+y=(k+1)(x+y) (D)a3-2a2+a=a(a-1)2
8.\u4e0b\u5217\u591a\u9879\u5f0f\u4e2d\u4e0d\u80fd\u7528\u5e73\u65b9\u5dee\u516c\u5f0f\u5206\u89e3\u7684\u662f\uff08 \uff09
(A)-a2+b2 (B)-x2-y2 (C)49x2y2-z2 (D)16m4-25n2p2
9.\u4e0b\u5217\u591a\u9879\u5f0f\uff1a\u246016x5-x\uff1b\u2461(x-1)2-4(x-1)+4\uff1b\u2462(x+1)4-4x(x+1)+4x2\uff1b\u2463-4x2-1+4x\uff0c\u5206\u89e3\u56e0\u5f0f\u540e\uff0c\u7ed3\u679c\u542b\u6709\u76f8\u540c\u56e0\u5f0f\u7684\u662f\uff08 \uff09
(A)\u2460\u2461 (B)\u2461\u2463 (C)\u2462\u2463 (D)\u2461\u2462
10.\u4e24\u4e2a\u8fde\u7eed\u7684\u5947\u6570\u7684\u5e73\u65b9\u5dee\u603b\u53ef\u4ee5\u88ab k\u6574\u9664\uff0c\u5219k\u7b49\u4e8e\uff08 \uff09
(A)4 (B)8 (C)4\u6216-4 (D)8\u7684\u500d\u6570
\u4e8c\u3001\u586b\u7a7a\u9898
11.\u5206\u89e3\u56e0\u5f0f\uff1am3-4m= .
12.\u5df2\u77e5x+y=6\uff0cxy=4\uff0c\u5219x2y+xy2\u7684\u503c\u4e3a .
13.\u5c06xn-yn\u5206\u89e3\u56e0\u5f0f\u7684\u7ed3\u679c\u4e3a(x2+y2)(x+y)(x-y)\uff0c\u5219n\u7684\u503c\u4e3a .
14.\u82e5ax2+24x+b=(mx-3)2\uff0c\u5219a= \uff0cb= \uff0cm= . (\u7b2c15\u9898\u56fe)
15.\u89c2\u5bdf\u56fe\u5f62\uff0c\u6839\u636e\u56fe\u5f62\u9762\u79ef\u7684\u5173\u7cfb\uff0c\u4e0d\u9700\u8981\u8fde\u5176\u4ed6\u7684\u7ebf\uff0c\u4fbf\u53ef\u4ee5\u5f97\u5230\u4e00\u4e2a\u7528\u6765\u5206\u89e3\u56e0\u5f0f\u7684\u516c\u5f0f\uff0c\u8fd9\u4e2a\u516c\u5f0f\u662f .
\u4e09\u3001(\u6bcf\u5c0f\u98986\u5206\uff0c\u517124\u5206)
16.\u5206\u89e3\u56e0\u5f0f\uff1a(1)-4x3+16x2-26x (2) a2(x-2a)2- a(2a-x)3


\uff083\uff0956x3yz+14x2y2z\uff0d21xy2z2 (4)mn(m\uff0dn)\uff0dm(n\uff0dm)





17.\u5206\u89e3\u56e0\u5f0f\uff1a(1) 4xy\u2013(x2-4y2) (2)- (2a-b)2+4(a - b)2





18.\u5206\u89e3\u56e0\u5f0f\uff1a(1)-3ma3+6ma2-12ma (2) a2(x-y)+b2(y-x)





19\u3001\u5206\u89e3\u56e0\u5f0f
\uff081\uff09 \uff1b \uff082\uff09 \uff1b




\uff083\uff09 \uff1b





20.\u5206\u89e3\u56e0\u5f0f\uff1a(1) ax2y2+2axy+2a (2)(x2-6x)2+18(x2-6x)+81 (3) \u20132x2n-4xn




21\uff0e\u5c06\u4e0b\u5217\u5404\u5f0f\u5206\u89e3\u56e0\u5f0f\uff1a
\uff081\uff09 \uff1b \uff082\uff09 \uff1b \uff083\uff09 \uff1b


22\uff0e\u5206\u89e3\u56e0\u5f0f\uff081\uff09 \uff1b \uff082\uff09 \uff1b





23.\u7528\u7b80\u4fbf\u65b9\u6cd5\u8ba1\u7b97\uff1a
(1)57.6\u00d71.6+28.8\u00d736.8-14.4\u00d780 (2)39\u00d737-13\u00d734





\uff083\uff09\uff0e13.7





24\uff0e\u8bd5\u8bf4\u660e\uff1a\u4e24\u4e2a\u8fde\u7eed\u5947\u6570\u7684\u5e73\u65b9\u5dee\u662f\u8fd9\u4e24\u4e2a\u8fde\u7eed\u5947\u6570\u548c\u76842\u500d\u3002





25\uff0e\u5982\u56fe\uff0c\u5728\u4e00\u5757\u8fb9\u957f\u4e3aa\u5398\u7c73\u7684\u6b63\u65b9\u5f62\u7eb8\u677f\u56db\u89d2\uff0c\u5404\u526a\u53bb\u4e00\u4e2a\u8fb9\u957f\u4e3a b(b< )\u5398\u7c73\u7684\u6b63\u65b9\u5f62\uff0c\u5229\u7528\u56e0\u5f0f\u5206\u89e3\u8ba1\u7b97\u5f53a=13.2\uff0cb=3.4\u65f6\uff0c\u5269\u4f59\u90e8\u5206\u7684\u9762\u79ef\u3002






26\uff0e\u5c06\u4e0b\u5217\u5404\u5f0f\u5206\u89e3\u56e0\u5f0f
\uff081\uff09




\uff082\uff09 \uff1b
(3) (4)





(5)




(6)





(7) (8)





(9) \uff0810\uff09(x2+y2)2-4x2y2







\uff0812\uff09\uff0ex6n+2+2x3n+2+x2 \uff0813\uff09\uff0e9(a+1)2(a-1)2-6(a2-1)(b2-1)+(b+1)2(b-1)2







27.\u5df2\u77e5(4x-2y-1)2+ =0\uff0c\u6c424x2y-4x2y2+xy2\u7684\u503c.






28\uff0e\u5df2\u77e5\uff1aa=10000\uff0cb=9999\uff0c\u6c42a2+b2\uff0d2ab\uff0d6a+6b+9\u7684\u503c\u3002






29\uff0e\u8bc1\u660e58-1\u89e3\u88ab20\u223d30\u4e4b\u95f4\u7684\u4e24\u4e2a\u6574\u6570\u6574\u9664






30.\u5199\u4e00\u4e2a\u591a\u9879\u5f0f\uff0c\u518d\u628a\u5b83\u5206\u89e3\u56e0\u5f0f(\u8981\u6c42\uff1a\u591a\u9879\u5f0f\u542b\u6709\u5b57\u6bcdm\u548cn\uff0c\u7cfb\u6570\u3001\u6b21\u6570\u4e0d\u9650\uff0c\u5e76\u80fd\u5148\u7528\u63d0\u53d6\u516c\u56e0\u5f0f\u6cd5\u518d\u7528\u516c\u5f0f\u6cd5\u5206\u89e3).




31.\u89c2\u5bdf\u4e0b\u5217\u5404\u5f0f\uff1a
12+(1\u00d72)2+22=9=32
22+(2\u00d73)2+32=49=72
32+(3\u00d74)2+42=169=132
\u2026\u2026
\u4f60\u53d1\u73b0\u4e86\u4ec0\u4e48\u89c4\u5f8b\uff1f\u8bf7\u7528\u542b\u6709n(n\u4e3a\u6b63\u6574\u6570)\u7684\u7b49\u5f0f\u8868\u793a\u51fa\u6765\uff0c\u5e76\u8bf4\u660e\u5176\u4e2d\u7684\u9053\u7406.




32.\u9605\u8bfb\u4e0b\u5217\u56e0\u5f0f\u5206\u89e3\u7684\u8fc7\u7a0b\uff0c\u518d\u56de\u7b54\u6240\u63d0\u51fa\u7684\u95ee\u9898\uff1a
1+x+x(x+1)+x(x+1)2=(1+x)[1+x+x(x+1)]
=(1+x)2(1+x)
=(1+x)3
(1)\u4e0a\u8ff0\u5206\u89e3\u56e0\u5f0f\u7684\u65b9\u6cd5\u662f \uff0c\u5171\u5e94\u7528\u4e86 \u6b21.
(2)\u82e5\u5206\u89e31+x+x(x+1)+x(x+1)2+\u2026+ x(x+1)2004\uff0c\u5219\u9700\u5e94\u7528\u4e0a\u8ff0\u65b9\u6cd5 \u6b21\uff0c\u7ed3\u679c\u662f .
(3)\u5206\u89e3\u56e0\u5f0f\uff1a1+x+x(x+1)+x(x+1)2+\u2026+ x(x+1)n(n\u4e3a\u6b63\u6574\u6570).






34\uff0e\u82e5a\u3001b\u3001c\u4e3a\u25b3ABC\u7684\u4e09\u8fb9\uff0c\u4e14\u6ee1\u8db3a2+b2+c2\uff0dab\uff0dbc\uff0dca=0\u3002\u63a2\u7d22\u25b3ABC\u7684\u5f62\u72b6\uff0c\u5e76\u8bf4\u660e\u7406\u7531\u3002







35\uff0e\u9605\u8bfb\u4e0b\u5217\u8ba1\u7b97\u8fc7\u7a0b\uff1a
99\u00d799+199=992+2\u00d799+1=\uff0899+1\uff092=100 2=10 4
1\uff0e\u8ba1\u7b97\uff1a
999\u00d7999+1999=____________=_______________=_____________=_____________\uff1b
9999\u00d79999+19999=__________=_______________=______________=_______________\u3002
2\uff0e\u731c\u60f39999999999\u00d79999999999+19999999999\u7b49\u4e8e\u591a\u5c11\uff1f\u5199\u51fa\u8ba1\u7b97\u8fc7\u7a0b\u3002







36.\u6709\u82e5\u5e72\u4e2a\u5927\u5c0f\u76f8\u540c\u7684\u5c0f\u7403\u4e00\u4e2a\u6328\u4e00\u4e2a\u6446\u653e\uff0c\u521a\u597d\u6446\u6210\u4e00\u4e2a\u7b49\u8fb9\u4e09\u89d2\u5f62(\u5982\u56fe1)\uff1b\u5c06\u8fd9\u4e9b\u5c0f\u7403\u6362\u4e00\u79cd\u6446\u6cd5\uff0c\u4ecd\u4e00\u4e2a\u6328\u4e00\u4e2a\u6446\u653e\uff0c\u53c8\u521a\u597d\u6446\u6210\u4e00\u4e2a\u6b63\u65b9\u5f62(\u5982\u56fe2).\u8bd5\u95ee\uff1a\u8fd9\u79cd\u5c0f\u7403\u6700\u5c11\u6709\u591a\u5c11\u4e2a\uff1f
\u600e\u4e48\u6837100\u9053\u591f\u4e86\u5427\uff01
\u53c2\u8003\u8d44\u6599\uff1a\u521d\u4e8c\u6570\u5b66\u56e0\u5f0f\u5206\u89e3\u9898100\u9053_\u767e\u5ea6\u77e5\u9053

不知道楼主多大,有没有学多次幂的因式分解,我这里有十几道题,基本上都是指数为3的因式。不知有没有用。(在x后边的数字都是指数,我觉得^符号打太多了容易乱。。)
1)x3-4x2+5x-2
2)x3+3x2-x-3
3)x3-3x2-4x+12
4)x3-5x2-8x+12
5)x3-7x-6
6)x3+x2-14x-24
7)2x3-3x2-8x -3
8)3x3-2x2-3x+2
9)6x3-x2-5x+2
10)8x3+2x2-13x+3
11)6x3+17x2+6x-8
12)2x3-7x2-3x+18
*13)18x3+9x2-47x+14
*14)121x3+154x2+15x-18
*15)170x3-71x2-11x+2
*16)x4-10x3+35x2-50x+24
下边是答案
1)x3-4x2+5x-2
=(x-1)(x2-3x+2)
=(x-1)(x-1)(x-2)
2)x3+3x2-x-3
= (x-1)(x2+4x+3)
= (x-1)(x+1)(x+3)
3)x3-3x2-4x+12
= (x-2)(x2-x-6)
= (x-2)(x+2)(x-6)
4)x3-5x2-8x+12
= (x-1)(x2-4x-12)
= (x-1)(x-6)(x+2)
5)x3-7x-6
= (x+1)(x2-x-6)
= (x+1)(x-3)(x+2)
6)x3+x2-14x-24
= (x+2)(x2-x-12)
= (x+2)(x+3)(x-4)
7)2x3-3x2-8x-3
= (x+1)(2x2-5x-3)
= (x+1)(2x+1)(x-3)
8)3x3-2x2-3x+2
= (x-1)(3x2+x-2)
= (x-1)(x+1)(3x-2)
9)6x3-x2-5x+2
= (x+1)(6x2-7x+2)
= (x+1)(2x-1)(3x-2)
10)8x3+2x2-13x+3
= (x-1)(8x2+10x-3)
= (x-1)(2x+3)(4x-1)
11)6x3+17x2+6x-8
= (x+2)(6x2+5x-4)
= (x+2)(3x+4)(2x-1)
12)2x3-7x2-3x+18
= (x-2)(2x2-3x-9)
= (x-2) (2x+3)(x-3)
*13)18x3+9x2-47x+14
= (x+2)(18x2-27x+7)
= (x+2)(3x-1)(6x-7)
*14)121x3+154x2+15x-18
= (x+1)(121x2+33x-18)
= (x+1)(11x-3)(11x+6)
*15)170x3-71x2-11x+2
= (2x-1)(85x2+7x-2)
= (2x-1)(5x+1)(17x-2)
*16)x4-10x3+35x2-50x+24
= (x-1)(x3-9x2+26x-24)
= (x-1)(x-2)(x2-7x+12)
= (x-1)(x-2)(x-3)(x-4)

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