求初中因式分解的练习题 初二数学因式分解练习题50道
\u521d\u4e2d\u6570\u5b66\u56e0\u5f0f\u5206\u89e3\u7ec3\u4e60\u98981\uff09a\u7684\u56db\u6b21\u65b9+a²+1
=a^4+2a²+1-a²
=(a²+1)²-a²
=(a²+a+1)(a²-a+1)
\uff082\uff092a²-7ab+6b²
=(2a-3b)(a-2b)
\uff083\uff093x²+xy-2y²
=(3x-2y)(x+y)
\uff084\uff0910a²b²+11ab-6
=(2ab+3)(5ab-2)
\uff085\uff097a³x-28a\uff08x\u7684\u4e94\u6b21\u65b9\uff09
=7a³(x-4a²)
\uff086\uff09x³-10x²+16x
=x(x²-10x+16)
=x(x-2)(x-8)
\uff087\uff09\uff08x²+3x\uff09²-2\uff08x²+3x\uff09-8
=(x²+3x+2)(x²+3x-4)
=(x+1)(x+2)(x+4)(x-1)
\uff088\uff09\uff08x-y\uff09²+4xy-1
=x²-2xy+y²+4xy-1
=x²+2xy+y²-1
=(x+y)²-1
=(x+y+1)(x+y-1)
9.x^2 -4xy +4y^2 -x +2y -2
= (x-2y)^2 - (x-2y) -2
=(x-2y + 1)(x-2y-2)
10.x³+ax²+bx²+cx²+abx+bcx+acx+ab
=x³+cx²+abx+abc+bx²+bcx+ax²+acx
=x²(x+c)+ab(x+c)+bx(x+c)+ax(x+c)
=(x+c)[x²+bx+ab+ax]
=(x+c)[x(x+b)+a(x+b)]
=(x+a)(x+b)(x+c)
11.x²-y²-y-1/2
=x²-(y²+y+1/4)
=x²-(y+1/2)²
=(x+y+1/2)(x-y-1/2)
12.x\u7684\u56db\u6b21\u65b9+3x³+6x ² -4
=x^4+x³+2x³+2x²+4(x²-1)
=x³(x+1)+2x²(x+1)+(4x-4)(x+1)
=(x+1)(x³+2x²+4x-4)
13.x³-3x²+4
=x³+1-3(x²-1)
=(x+1)(x²-x+1)-(3x-3)(x+1)
=(x+1)(x²-4x+4)
=(x+1)(x-2)²
14.32a[(x^2+2x)^2]-2a
=2a[16(x^2+2x)^2-1]
=2a(4x^2+8x+1)(4x^2+8x-1)
15.16+8(x^2+4x)+(x^2+4x)^2
=(4+x^2+4x)^2
=(x^2+4x+4)^2
=(x+2)^4
16.3x^ny+9x^(n-1)y^2+x^(n+1)/4
=x^(n-1)(3xy+9y^2+x^2/4)
=x^(n-1)(x^2/4+3xy+9y^2)
=x^(n-1)(x/2+3y)^2
=(1/4)[x^(n-1)](x+6y)^2
17.a^4+a³+3a-5
=a²*(a²+a)+3a-5
=3a²+3a-5
=3(a²+a)-5
18.1+x+x(x+1)+x(x+1)^2+x(x+1)^3
=(1+x)+x(x+1)+x(x+1)^2+x(x+1)^3
=(1+x)(1+x)+x(x+1)^2+x(x+1)^3
=(1+x)²(1+x)+x(x+1)^3
=(1+x)³(1+x)
=(1+x)^4
19. (x-y)(2x-2y-3)-2
=(x-y)[2(x-y)-3]-2
=2(x-y) ^2-3(x-y)-2
=[(x-y)-2][2(x-y)+1]
=(x-y-2)(2x-2y+1).
x2-3xy-10y2+x+9y-2=(x-5y+2)(x+2y-1)\uff0e
x2-y2+5x+3y+4=(x+y+1)(x-y+4)\uff0e
xy+y2+x-y-2=(y+1)(x+y-2)\uff0e
6x2-7xy-3y2-xz+7yz-2z2=(2x-3y+z)(3x+y-2z)\uff0e
a^2+2b^2+3c^2+3aB+4ac+5bc =(a+b+c)(a+2b+3c)
x^2-8x+7 =\uff08x-1\uff09\uff08x-7\uff09
X^2+8X+7= (x+1)(x+7)
X^2-10X-11 =(x-11)(x+1)
x^2+10X-11= \uff0c(x+11)(x-1)
X^+3x-18 =(x+6)(x-3)
x^2+11X+18 =(x+2)(x+9)
x^2-11x+18 =(x-2)(x-9)
x^2+17X-18 =(x+18)(x-1)
X^2-17X-18 =( x-18)(x+1)
xy\uff0b6\uff0d2x\uff0d3y\uff1d(x-3)(y-2)
x2(x\uff0dy)\uff0by2(y\uff0dx)\uff1d(x+y)(x-y)^2
2x2\uff0d(a\uff0d2b)x\uff0dab\uff1d(2x-a)(x+b)
a4\uff0d9a2b2\uff1da^2(a+3b)(a-3b)
x3\uff0b3x2\uff0d4\uff1d(x-1)(x+2)^2
ab(x2\uff0dy2)\uff0bxy(a2\uff0db2)\uff1d(ay+bx)(ax-by)
(x\uff0by)(a\uff0db\uff0dc)\uff0b(x\uff0dy)(b\uff0bc\uff0da)\uff1d2y(a-b-c)
a2\uff0da\uff0db2\uff0db\uff1d(a+b)(a-b-1)
(3a\uff0db)2\uff0d4(3a\uff0db)(a\uff0b3b)\uff0b4(a\uff0b3b)2\uff1d[3a-b-2(a+3b)]^2=(a-7b)^2
(x\uff0b1)2(x\uff0b2)\uff0d(x\uff0b1)(x\uff0b2)2\uff1d-(x+1)(x+2)
abc\uff0bab\uff0d4a\uff1da(bc+b-4)
16x2\uff0d81\uff1d(4x+9)(4x-9)
9x2\uff0d30x\uff0b25\uff1d(3x-5)^2
x2\uff0d7x\uff0d30\uff1d(x-10)(x+3)
x2\uff0d25\uff1d(x+5)(x-5)
x2\uff0b4x\uff0b3\uff1d(x+1)(x+3)
4x2\uff0d12x\uff0b5\uff1d(2x-1)(2x-5)
3ax2\uff0d6ax\uff1d3ax(x-2)
x(x\uff0b2)\uff0dx\uff1dx(x+1)
x2\uff0d4x\uff0dax\uff0b4a\uff1d(x-4)(x-a)
25x2\uff0d49\uff1d(5x-9)(5x+9)
36x2\uff0d60x\uff0b25\uff1d(6x-5)^2
4x2\uff0b12x\uff0b9\uff1d(2x+3)^2
x2\uff0d9x\uff0b18\uff1d(x-3)(x-6)
2x2\uff0d5x\uff0d3\uff1d(x-3)(2x+1)
12x2\uff0d50x\uff0b8\uff1d2(6x-1)(x-4)
(x\uff0b2)(x\uff0d3)\uff0b(x\uff0b2)(x\uff0b4)\uff1d(x+2)(2x-1)
2ax2\uff0d3x\uff0b2ax\uff0d3\uff1d (x+1)(2ax-3)
9x2\uff0d66x\uff0b121\uff1d(3x-11)^2
8\uff0d2x2\uff1d2(2+x)(2-x)
9x2\uff0d30x\uff0b25\uff1d(3x-5)^2
\uff0d20x2\uff0b9x\uff0b20\uff1d(-4x+5)(5x+4)
12x2\uff0d29x\uff0b15\uff1d(4x-3)(3x-5)
36x2\uff0b39x\uff0b9\uff1d3(3x+1)(4x+3)
21x2\uff0d31x\uff0d22\uff1d(21x+11)(x-2)
9x4\uff0d35x2\uff0d4\uff1d(9x^2+1)(x+2)(x-2)
(2x\uff0b1)(x\uff0b1)\uff0b(2x\uff0b1)(x\uff0d3)\uff1d2(x-1)(2x+1)
2ax2\uff0d3x\uff0b2ax\uff0d3\uff1d(x+1)(2ax-3)
x(y\uff0b2)\uff0dx\uff0dy\uff0d1\uff1d(x-1)(y+1)
(x2\uff0d3x)\uff0b(x\uff0d3)2\uff1d(x-3)(2x-3)
9x2\uff0d66x\uff0b121\uff1d(3x-11)^2
8\uff0d2x2\uff1d2(2-x)(2+x)
x4\uff0d1\uff1d(x-1)(x+1)(x^2+1)
x2\uff0b4x\uff0dxy\uff0d2y\uff0b4\uff1d(x+2)(x-y+2)
4x2\uff0d12x\uff0b5\uff1d(2x-1)(2x-5)
21x2\uff0d31x\uff0d22\uff1d(21x+11)(x-2)
4x2\uff0b4xy\uff0by2\uff0d4x\uff0d2y\uff0d3\uff1d(2x+y-3)(2x+y+1)
9x5\uff0d35x3\uff0d4x\uff1dx(9x^2+1)(x+2)(x-2)
3x2\uff0d6x\uff1d3x(x-2)
49x2\uff0d25\uff1d(7x+5)(7x-5)
6x2\uff0d13x\uff0b5\uff1d(2x-1)(3x-5)
x2\uff0b2\uff0d3x\uff1d(x-1)(x-2)
12x2\uff0d23x\uff0d24\uff1d(3x-8)(4x+3)
(x\uff0b6)(x\uff0d6)\uff0d(x\uff0d6)\uff1d(x-6)(x+5)
3(x\uff0b2)(x\uff0d5)\uff0d(x\uff0b2)(x\uff0d3)\uff1d2(x-6)(x+2)
9x2\uff0b42x\uff0b49\uff1d(3x+7)^2 \u3002
3a3b2c\uff0d6a2b2c2\uff0b9ab2c3\uff1d3ab^2 c(a^2-2ac+3c^2)
xy\uff0b6\uff0d2x\uff0d3y\uff1d(x-3)(y-2)
x2(x\uff0dy)\uff0by2(y\uff0dx)\uff1d(x+y)(x-y)^2
2x2\uff0d(a\uff0d2b)x\uff0dab\uff1d(2x-a)(x+b)
x^3+2x^2-16x-32=(x+2)(x+4)(x-4)
(a-b)a^6+\uff08b-a)b^6=(a-b)^2(a^2+ab+b^2)(a+b)(a^2-ab+b^2)
(x+y)(x+y+2xy)+(xy+1)(xy-1) =(x+1)(y+1)(x+y+xy-1)
X^8+X^7+1 =\uff08X^2+X+1\uff09\uff08X^6-X^4+X^3-X+1\uff09
x^8+x^6+x^4+x^2+1 =(x^4+x^3-x+1)(x^4+x^3+x^2+x+1)
x^2\uff0d20x\uff0b100\uff1d(x-10)^2
x^2-3x+2=(x-1)(x-2)
x^2-2x-15=(x+3)(x-5)
x^2+2x-15=(x-3)(x+5)
x^2-7x+12=(x-3)(x-4)
x^2-7x-30=(x+3)(x-10)
x^2+2x-3=(x-1)(x+3)
x^2-16x+64=(x-8)^2
x^2-9x+20=(x-4)(x-5)
x^2-6x+8=(x-2)(x-4)
x^2-6x-7=(x-7)(x+1)
\u8981\u7ed9\u5206\u554a
(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
=3x^2（x^4-1)
=3x^2(x^2+1)(x^2-1)
=3x^2(x^2+1)(x+1)(x-1)
2.解：(a^2-2b)^2-(1-2b)^2
=(a^2-2b+1-2b)( a^2-2b-1+2b)
=(a^2+1)(a^2-1）
=（a^2+1)(a+1)(a-1)
3.解：9x^4-36y^2
=9(x^4-4y^2)
=9(x^2+2y)(x^-2y)
4.解：4(x+y)^2-(x-y)^2
=<2(x+y)>^2-(x-y)^2
(2x+2y+x-y)(2x+2y-x+y)
=(3x+y)(x+3y)
5.解：x^2-3
=(x+根号3)(x-根号3)
6.解：x^2-5y^2
=(x+根号5><y)(x-根号5><y)
给你一个方法，你倒着推，想要几个就有几个
这个简单啊，倒着来嘛！！！
x^2-2x+1=(x-3)(x+1)
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