求因式分解五道习题答案 跪求五十道七年级下册因式分解带答案,答案一定要完整

\u4e94\u9053\u7528\u5e73\u65b9\u5dee\u516c\u5f0f\u56e0\u5f0f\u5206\u89e3\u7684\u9898\u6709\u7b54\u6848

\u4e00\u3001\u9009\u62e9
1.\u4e0b\u5217\u5404\u5f0f\u7531\u5de6\u5230\u53f3\u53d8\u5f62\u4e2d\uff0c\u662f\u56e0\u5f0f\u5206\u89e3\u7684\u662f( )
A.a(x+y)=ax+ay B. x2-4x+4=x(x-4)+4
C. 10x2-5x=5x(2x-1) D. x2-16+3x=(x-4)(x+4)+3x
2.\u4e0b\u5217\u5404\u5f0f\u4e2d\uff0c\u80fd\u7528\u63d0\u516c\u56e0\u5f0f\u5206\u89e3\u56e0\u5f0f\u7684\u662f( )
A. x2-y B. x2+2x C. x2+y2 D. x2-xy+1
3.\u591a\u9879\u5f0f6x3y2-3x2y2-18x2y3\u5206\u89e3\u56e0\u5f0f\u65f6\uff0c\u5e94\u63d0\u53d6\u7684\u516c\u56e0\u5f0f\u662f( )
A. 3x2y B.3xy2 C. 3x2y2 D.3x3y3
4.\u591a\u9879\u5f0fx3+x2\u63d0\u53d6\u516c\u56e0\u5f0f\u540e\u5269\u4e0b\u7684\u56e0\u5f0f\u662f( )
A. x+1 B.x2 C. x D. x2+1
5.\u4e0b\u5217\u53d8\u5f62\u9519\u8bef\u7684\u662f( )
A.-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
6.\u4e0b\u5217\u5404\u5f0f\u4e2d\u80fd\u7528\u5e73\u65b9\u5dee\u516c\u5f0f\u56e0\u5f0f\u5206\u89e3\u7684\u662f( )
A. \u2013x2y2 B.x2+y2 C.-x2+y2 D.x-y
7.\u4e0b\u5217\u5206\u89e3\u56e0\u5f0f\u9519\u8bef\u7684\u662f( )
A. 1-16a2=(1+4a)(1-4a) B. x3-x=x(x2-1)
C.a2-b2c2=(a+bc)(a-bc) D.m2-0.01=(m+0.1)(m-0.1)
8.\u4e0b\u5217\u591a\u9879\u5f0f\u4e2d\uff0c\u80fd\u7528\u516c\u5f0f\u6cd5\u5206\u89e3\u56e0\u5f0f\u7684\u662f( )
A.x2-xy\u3000\u3000\u3000 B. x2+xy C. x2-y2 \u3000 D. x2+y2
\u4e8c\u3001\u586b\u7a7a
9.a2b+ab2-ab=ab(__________).
10.-7ab+14a2-49ab2=-7a(________).
11.3(y-x)2+2(x-y)=___________
12.x(a-1)(a-2)-y(1-a)(2-a)=____________.
13.-a2+b2=(a+b)(______)
14.1-a4=___________
15.992-1012=________
16.x2+x+____=(______)2
17.\u82e5a+b=1,x-y=2,\u5219a2+2ab+b2-x+y=____\u3002
\u4e09\u3001\u89e3\u7b54
18.\u56e0\u5f0f\u5206\u89e3\uff1a
\u24602a2b2-4ab+2\u3000\u3000\u2461(x2+y2)2-4x2y2\u3000\u3000\u2462(x+y)2-4(x+y-1)
19.\u5df2\u77e5a+b-c=3,\u6c422a+2b-2c\u7684\u503c\u3002
20\u3001\u5df2\u77e5\uff0c2x2-Ax+B=2(x2+4x-1),\u8bf7\u95eeA\u3001B\u7684\u503c\u662f\u591a\u5c11?
21\u3001\u82e52x2+mx-1\u80fd\u5206\u89e3\u4e3a(2x+1)(x-1),\u6c42m\u7684\u503c\u3002
22.\u5df2\u77e5a+b=5,ab=7,\u6c42a2b+ab2-a-b\u7684\u503c\u3002
23. \u5df2\u77e5a2b2-8ab+4a2+b2+4=0,\u6c42ab\u7684\u503c\u3002
24.\u8bf7\u95ee9910-99\u80fd\u88ab99\u6574\u9664\u5417?\u8bf4\u660e\u7406\u7531\u3002

http://wenku.baidu.com/view/e9929a3d5727a5e9856a61e4.html
\u6211\u770b\u8fc7\u4e86\uff0c\u6bd4\u8f83\u5b8c\u6574\u989d\uff0c\u4e0d\u77e5\u9053\u53ef\u4e0d\u53ef\u4ee5
\u56e0\u5f0f\u5206\u89e33a3b2c\uff0d6a2b2c2\uff0b9ab2c3\uff1d3ab^2 c(a^2-2ac+3c^2)
3.\u56e0\u5f0f\u5206\u89e3xy\uff0b6\uff0d2x\uff0d3y\uff1d(x-3)(y-2)
4.\u56e0\u5f0f\u5206\u89e3x2(x\uff0dy)\uff0by2(y\uff0dx)\uff1d(x+y)(x-y)^2
5.\u56e0\u5f0f\u5206\u89e32x2\uff0d(a\uff0d2b)x\uff0dab\uff1d(2x-a)(x+b)
6.\u56e0\u5f0f\u5206\u89e3a4\uff0d9a2b2\uff1da^2(a+3b)(a-3b)
7.\u82e5\u5df2\u77e5x3\uff0b3x2\uff0d4\u542b\u6709x\uff0d1\u7684\u56e0\u5f0f\uff0c\u8bd5\u5206\u89e3x3\uff0b3x2\uff0d4\uff1d(x-1)(x+2)^2
8.\u56e0\u5f0f\u5206\u89e3ab(x2\uff0dy2)\uff0bxy(a2\uff0db2)\uff1d(ay+bx)(ax-by)
9.\u56e0\u5f0f\u5206\u89e3(x\uff0by)(a\uff0db\uff0dc)\uff0b(x\uff0dy)(b\uff0bc\uff0da)\uff1d2y(a-b-c)
10.\u56e0\u5f0f\u5206\u89e3a2\uff0da\uff0db2\uff0db\uff1d(a+b)(a-b-1)
11.\u56e0\u5f0f\u5206\u89e3(3a\uff0db)2\uff0d4(3a\uff0db)(a\uff0b3b)\uff0b4(a\uff0b3b)2\uff1d[3a-b-2(a+3b)]^2=(a-7b)^2
12.\u56e0\u5f0f\u5206\u89e3(a\uff0b3)2\uff0d6(a\uff0b3)\uff1d(a+3)(a-3)
13.\u56e0\u5f0f\u5206\u89e3(x\uff0b1)2(x\uff0b2)\uff0d(x\uff0b1)(x\uff0b2)2\uff1d-(x+1)(x+2)
abc\uff0bab\uff0d4a\uff1da(bc+b-4)
(2)16x2\uff0d81\uff1d(4x+9)(4x-9)
(3)9x2\uff0d30x\uff0b25\uff1d(3x-5)^2
(4)x2\uff0d7x\uff0d30\uff1d(x-10)(x+3)
35.\u56e0\u5f0f\u5206\u89e3x2\uff0d25\uff1d(x+5)(x-5)
36.\u56e0\u5f0f\u5206\u89e3x2\uff0d20x\uff0b100\uff1d(x-10)^2
37.\u56e0\u5f0f\u5206\u89e3x2\uff0b4x\uff0b3\uff1d(x+1)(x+3)
38.\u56e0\u5f0f\u5206\u89e34x2\uff0d12x\uff0b5\uff1d(2x-1)(2x-5)
39.\u56e0\u5f0f\u5206\u89e3\u4e0b\u5217\u5404\u5f0f\uff1a
(1)3ax2\uff0d6ax\uff1d3ax(x-2)
(2)x(x\uff0b2)\uff0dx\uff1dx(x+1)
(3)x2\uff0d4x\uff0dax\uff0b4a\uff1d(x-4)(x-a)
(4)25x2\uff0d49\uff1d(5x-9)(5x+9)
(5)36x2\uff0d60x\uff0b25\uff1d(6x-5)^2
(6)4x2\uff0b12x\uff0b9\uff1d(2x+3)^2
(7)x2\uff0d9x\uff0b18\uff1d(x-3)(x-6)
(8)2x2\uff0d5x\uff0d3\uff1d(x-3)(2x+1)
(9)12x2\uff0d50x\uff0b8\uff1d2(6x-1)(x-4)
40.\u56e0\u5f0f\u5206\u89e3(x\uff0b2)(x\uff0d3)\uff0b(x\uff0b2)(x\uff0b4)\uff1d(x+2)(2x-1)
41.\u56e0\u5f0f\u5206\u89e32ax2\uff0d3x\uff0b2ax\uff0d3\uff1d (x+1)(2ax-3)
42.\u56e0\u5f0f\u5206\u89e39x2\uff0d66x\uff0b121\uff1d(3x-11)^2
43.\u56e0\u5f0f\u5206\u89e38\uff0d2x2\uff1d2(2+x)(2-x)
44.\u56e0\u5f0f\u5206\u89e3x2\uff0dx\uff0b14 \uff1d\u6574\u6570\u5185\u65e0\u6cd5\u5206\u89e3
45.\u56e0\u5f0f\u5206\u89e39x2\uff0d30x\uff0b25\uff1d(3x-5)^2
46.\u56e0\u5f0f\u5206\u89e3\uff0d20x2\uff0b9x\uff0b20\uff1d(-4x+5)(5x+4)
47.\u56e0\u5f0f\u5206\u89e312x2\uff0d29x\uff0b15\uff1d(4x-3)(3x-5)
48.\u56e0\u5f0f\u5206\u89e336x2\uff0b39x\uff0b9\uff1d3(3x+1)(4x+3)
49.\u56e0\u5f0f\u5206\u89e321x2\uff0d31x\uff0d22\uff1d(21x+11)(x-2)
50.\u56e0\u5f0f\u5206\u89e39x4\uff0d35x2\uff0d4\uff1d(9x^2+1)(x+2)(x-2)
51.\u56e0\u5f0f\u5206\u89e3(2x\uff0b1)(x\uff0b1)\uff0b(2x\uff0b1)(x\uff0d3)\uff1d2(x-1)(2x+1)
52.\u56e0\u5f0f\u5206\u89e32ax2\uff0d3x\uff0b2ax\uff0d3\uff1d(x+1)(2ax-3)
53.\u56e0\u5f0f\u5206\u89e3x(y\uff0b2)\uff0dx\uff0dy\uff0d1\uff1d(x-1)(y+1)
54.\u56e0\u5f0f\u5206\u89e3(x2\uff0d3x)\uff0b(x\uff0d3)2\uff1d(x-3)(2x-3)
55.\u56e0\u5f0f\u5206\u89e39x2\uff0d66x\uff0b121\uff1d(3x-11)^2
56.\u56e0\u5f0f\u5206\u89e38\uff0d2x2\uff1d2(2-x)(2+x)
57.\u56e0\u5f0f\u5206\u89e3x4\uff0d1\uff1d(x-1)(x+1)(x^2+1)
58.\u56e0\u5f0f\u5206\u89e3x2\uff0b4x\uff0dxy\uff0d2y\uff0b4\uff1d(x+2)(x-y+2)
59.\u56e0\u5f0f\u5206\u89e34x2\uff0d12x\uff0b5\uff1d(2x-1)(2x-5)
60.\u56e0\u5f0f\u5206\u89e321x2\uff0d31x\uff0d22\uff1d(21x+11)(x-2)
61.\u56e0\u5f0f\u5206\u89e34x2\uff0b4xy\uff0by2\uff0d4x\uff0d2y\uff0d3\uff1d(2x+y-3)(2x+y+1)
62.\u56e0\u5f0f\u5206\u89e39x5\uff0d35x3\uff0d4x\uff1dx(9x^2+1)(x+2)(x-2)
63.\u56e0\u5f0f\u5206\u89e3\u4e0b\u5217\u5404\u5f0f\uff1a
(1)3x2\uff0d6x\uff1d3x(x-2)
(2)49x2\uff0d25\uff1d(7x+5)(7x-5)
(3)6x2\uff0d13x\uff0b5\uff1d(2x-1)(3x-5)
(4)x2\uff0b2\uff0d3x\uff1d(x-1)(x-2)
(5)12x2\uff0d23x\uff0d24\uff1d(3x-8)(4x+3)
(6)(x\uff0b6)(x\uff0d6)\uff0d(x\uff0d6)\uff1d(x-6)(x+5)
(7)3(x\uff0b2)(x\uff0d5)\uff0d(x\uff0b2)(x\uff0d3)\uff1d2(x-6)(x+2)
(8)9x2\uff0b42x\uff0b49\uff1d(3x+7)^2 \u3002
1\uff0e\u82e5(2x)n−81 = (4x2+9)(2x+3)(2x−3)\uff0c\u90a3\u4e48n\u7684\u503c\u662f( )

A\uff0e2 B\uff0e 4 C\uff0e6 D\uff0e8

2\uff0e\u82e59x2−12xy+m\u662f\u4e24\u6570\u548c\u7684\u5e73\u65b9\u5f0f\uff0c\u90a3\u4e48m\u7684\u503c\u662f( )

A\uff0e2y2 B\uff0e4y 2 C\uff0e\u00b14y2 D\uff0e\u00b116y2

3\uff0e\u628a\u591a\u9879\u5f0fa4− 2a2b2+b4\u56e0\u5f0f\u5206\u89e3\u7684\u7ed3\u679c\u4e3a( )

A\uff0ea2(a2−2b2)+b4 B\uff0e(a2−b2)2

C\uff0e(a−b)4 D\uff0e(a+b)2(a−b)2

4\uff0e\u628a(a+b)2−4(a2−b2)+4(a−b)2\u5206\u89e3\u56e0\u5f0f\u4e3a( )

A\uff0e( 3a−b)2 B\uff0e(3b+a)2

C\uff0e(3b−a)2 D\uff0e( 3a+b)2

5\uff0e\u8ba1\u7b97\uff1a(−)2001+(−)2000\u7684\u7ed3\u679c\u4e3a( )

A\uff0e(−)2003 B\uff0e−(−)2001

C\uff0e D\uff0e−

6\uff0e\u5df2\u77e5x\uff0cy\u4e3a\u4efb\u610f\u6709\u7406\u6570\uff0c\u8bb0M = x2+y2\uff0cN = 2xy\uff0c\u5219M\u4e0eN\u7684\u5927\u5c0f\u5173\u7cfb\u4e3a( )

A\uff0eM>N B\uff0eM\u2265N C\uff0eM\u2264N D\uff0e\u4e0d\u80fd\u786e\u5b9a

7\uff0e\u5bf9\u4e8e\u4efb\u4f55\u6574\u6570m\uff0c\u591a\u9879\u5f0f( 4m+5)2−9\u90fd\u80fd( )

A\uff0e\u88ab8\u6574\u9664 B\uff0e\u88abm\u6574\u9664

C\uff0e\u88ab(m−1)\u6574\u9664 D\uff0e\u88ab(2n−1)\u6574\u9664

8\uff0e\u5c06−3x2n−6xn\u5206\u89e3\u56e0\u5f0f\uff0c\u7ed3\u679c\u662f( )

A\uff0e−3xn(xn+2) B\uff0e−3(x2n+2xn)

C\uff0e−3xn(x2+2) D\uff0e3(−x2n−2xn)

9\uff0e\u4e0b\u5217\u53d8\u5f62\u4e2d\uff0c\u662f\u6b63\u786e\u7684\u56e0\u5f0f\u5206\u89e3\u7684\u662f( )

A\uff0e 0.09m2− n2 = ( 0.03m+ )( 0.03m−)

B\uff0ex2−10 = x2−9−1 = (x+3)(x−3)−1

C\uff0ex4−x2 = (x2+x)(x2−x)

D\uff0e(x+a)2−(x−a)2 = 4ax

10\uff0e\u591a\u9879\u5f0f(x+y−z)(x−y+z)−(y+z−x)(z−x−y)\u7684\u516c\u56e0\u5f0f\u662f( )

A\uff0ex+y−z B\uff0ex−y+z C\uff0ey+z−x D\uff0e\u4e0d\u5b58\u5728

11\uff0e\u5df2\u77e5x\u4e3a\u4efb\u610f\u6709\u7406\u6570\uff0c\u5219\u591a\u9879\u5f0fx−1−x2\u7684\u503c( )

A\uff0e\u4e00\u5b9a\u4e3a\u8d1f\u6570

B\uff0e\u4e0d\u53ef\u80fd\u4e3a\u6b63\u6570

C\uff0e\u4e00\u5b9a\u4e3a\u6b63\u6570

D\uff0e\u53ef\u80fd\u4e3a\u6b63\u6570\u6216\u8d1f\u6570\u6216\u96f6

\u4e8c\u3001\u89e3\u7b54\u9898\uff1a

\u5206\u89e3\u56e0\u5f0f\uff1a

(1)(ab+b)2−(a+b)2

(2)(a2−x2)2−4ax(x−a)2

(3)7xn+1−14xn+7xn−1(n\u4e3a\u4e0d\u5c0f\u4e8e1\u7684\u6574\u6570)

\u7b54\u6848\uff1a

\u4e00\u3001\u9009\u62e9\u9898\uff1a

1\uff0eB \u8bf4\u660e\uff1a\u53f3\u8fb9\u8fdb\u884c\u6574\u5f0f\u4e58\u6cd5\u540e\u5f9716x4−81 = (2x)4−81\uff0c\u6240\u4ee5n\u5e94\u4e3a4\uff0c\u7b54\u6848\u4e3aB\uff0e

2\uff0eB \u8bf4\u660e\uff1a\u56e0\u4e3a9x2−12xy+m\u662f\u4e24\u6570\u548c\u7684\u5e73\u65b9\u5f0f\uff0c\u6240\u4ee5\u53ef\u8bbe9x2−12xy+m = (ax+by)2\uff0c\u5219\u67099x2−12xy+m = a2x2+2abxy+b2y2\uff0c\u5373a2 = 9\uff0c2ab = −12\uff0cb2y2 = m\uff1b\u5f97\u5230a = 3\uff0cb = −2\uff1b\u6216a = −3\uff0cb = 2\uff1b\u6b64\u65f6b2 = 4\uff0c\u56e0\u6b64\uff0cm = b2y2 = 4y2\uff0c\u7b54\u6848\u4e3aB\uff0e

3\uff0eD \u8bf4\u660e\uff1a\u5148\u8fd0\u7528\u5b8c\u5168\u5e73\u65b9\u516c\u5f0f\uff0ca4− 2a2b2+b4 = (a2−b2)2\uff0c\u518d\u8fd0\u7528\u4e24\u6570\u548c\u7684\u5e73\u65b9\u516c\u5f0f\uff0c\u4e24\u6570\u5206\u522b\u662fa2\u3001−b2\uff0c\u5219\u6709(a2−b2)2 = (a+b)2(a−b)2\uff0c\u5728\u8fd9\u91cc\uff0c\u6ce8\u610f\u56e0\u5f0f\u5206\u89e3\u8981\u5206\u89e3\u5230\u4e0d\u80fd\u5206\u89e3\u4e3a\u6b62\uff1b\u7b54\u6848\u4e3aD\uff0e

4\uff0eC \u8bf4\u660e\uff1a(a+b)2−4(a2−b2)+4(a−b)2 = (a+b)2−2(a+b)[2(a−b)]+[2(a−b)]2 = [a+b−2(a−b)]2 = (3b−a)2\uff1b\u6240\u4ee5\u7b54\u6848\u4e3aC\uff0e

5\uff0eB \u8bf4\u660e\uff1a(−)2001+(−)2000 = (−)2000[(−)+1] = ()2000 •= ()2001 = −(−)2001\uff0c\u6240\u4ee5\u7b54\u6848\u4e3aB\uff0e

6\uff0eB \u8bf4\u660e\uff1a\u56e0\u4e3aM−N = x2+y2−2xy = (x−y)2\u22650\uff0c\u6240\u4ee5M\u2265N\uff0e

7\uff0eA \u8bf4\u660e\uff1a( 4m+5)2−9 = ( 4m+5+3)( 4m+5−3) = ( 4m+8)( 4m+2) = 8(m+2)( 2m+1)\uff0e

8\uff0eA

9\uff0eD \u8bf4\u660e\uff1a\u9009\u9879A\uff0c0.09 = 0.32\uff0c\u5219 0.09m2− n2 = ( 0.3m+n)( 0.3m−n)\uff0c\u6240\u4ee5A\u9519\uff1b\u9009\u9879B\u7684\u53f3\u8fb9\u4e0d\u662f\u4e58\u79ef\u7684\u5f62\u5f0f\uff1b\u9009\u9879C\u53f3\u8fb9(x2+x)(x2−x)\u53ef\u7ee7\u7eed\u5206\u89e3\u4e3ax2(x+1)(x−1)\uff1b\u6240\u4ee5\u7b54\u6848\u4e3aD\uff0e

10\uff0eA \u8bf4\u660e\uff1a\u672c\u9898\u7684\u5173\u952e\u662f\u7b26\u53f7\u7684\u53d8\u5316\uff1az−x−y = −(x+y−z)\uff0c\u800cx−y+z\u2260y+z−x\uff0c\u540c\u65f6x−y+z\u2260−(y+z−x)\uff0c\u6240\u4ee5\u516c\u56e0\u5f0f\u4e3ax+y−z\uff0e

11\uff0eB \u8bf4\u660e\uff1ax−1−x2 = −(1−x+x2) = −(1−x)2\u22640\uff0c\u5373\u591a\u9879\u5f0fx−1−x2\u7684\u503c\u4e3a\u975e\u6b63\u6570\uff0c\u6b63\u786e\u7b54\u6848\u5e94\u8be5\u662fB\uff0e

\u4e8c\u3001\u89e3\u7b54\u9898\uff1a

(1) \u7b54\u6848\uff1aa(b−1)(ab+2b+a)

\u8bf4\u660e\uff1a(ab+b)2−(a+b)2 = (ab+b+a+b)(ab+b−a−b) = (ab+2b+a)(ab−a) = a(b−1)(ab+2b+a)\uff0e

(2) \u7b54\u6848\uff1a(x−a)4

\u8bf4\u660e\uff1a(a2−x2)2−4ax(x−a)2

= [(a+x)(a−x)]2−4ax(x−a)2

= (a+x)2(a−x)2−4ax(x−a)2

= (x−a)2[(a+x)2−4ax]

= (x−a)2(a2+2ax+x2−4ax)

= (x−a)2(x−a)2 = (x−a)4\uff0e

(3) \u7b54\u6848\uff1a7xn−1(x−1)2

\u8bf4\u660e\uff1a\u539f\u5f0f = 7xn−1 •x2−7xn−1 •2x+7xn−1 = 7xn−1(x2−2x+1) = 7xn−1(x−1)2\uff0e


=-=============================\u671b\u91c7\u7eb3

(2a+b)²-(a-b)²
=(2a+b+a-b)(2a+b-a+b)
=(3a)(a+2b)
=3a(a+2b)

(x+y)²-10(x+y)+25
=(x+y-5)²

4a²-3b(4a-3b)
=4a²-12ab+9b²
=(2a-3b)²

(x²-5)²+2(x²-5)+1
=(x²-5+1)²
=(x²-4)²
=(x+2)²(x-2)²

(x²+y²)(x²+y2-4)+4
=(x²+y²)²-4(x²+y²)+4
=(x²+y²-2)²

第一题:(3a)(a+2b)
第二题:(x+y-5)^2
第三题:(2a-3b)^2
第四题:(x+2)^2(x-2)^2
第五题:(x^2+y^2-2)^2

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