因式分解的计算题 数学计算题因式分解
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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
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9a²-b²=(3a-b)(3a+b)
-1/4x²y²+0.09=(0.3-½xy)(0.3+½xy)
(m-n)²-1=(m-n-1)(m-n+1)
4x²-(x-y)²=(2x-x+y)(2x+x-y)=(x+y)(3x+y)
-(a+b)²+(2a-3b)²=(2a-3b-a-b)(2a-3b+a+b)=(a-4b)(3a-2b)
49(x-2)²-25(x-3)²=(7x-14-5x+15)(7x-14+5x-15)=(2x+1)(12x-29)
101²-99²=(101-99)(101+99)=2x200=400
1.22²x9-133²x4=(1.22\u00d73-1.33\u00d72)(1.22x3+1.33x2)=(3.66-2.66)(3.66+2.66)=6.32
1000²/(252²-248²)=1000²/(252-248)(252-248)=1000²/500x4=500
(1-1/2²)(1-1/3²)(1-1/4²).....(1-1/100²)
=(1-1/2)(1+1/2)(1-1/3)(1+1/3)(1-1/4)(1+1/4).....(1-1/100)(1+1/100)
=1/2x3/2x2/3x4/3x3/4x5/4x......x98/99x100/99x99/100x101/100
=1/2x101/100
=101/200
一：
1.原式
=3a²(x²y²-9)
=3a²(xy+3)(xy-3)
2.原式
=a²-4a-21+25
=a²-4a+4
=(a-2)²
3.原式
=(9a²-4b²)²
=(3a+2b)²(3a-2b)²
二：
1.原式
=(9x²-1)²
=81x^4-18x²+1
2.原式
=(x²-1)(x²+1)(x^4+1)
=(x^4-1)(x^4+1)
=x^8-1
3.原式
=[z+(x-2y)][z-(x-2y)]
=z²-(x-2y)²
=z²-x²-4y²+4xy
4.原式
=[a+(2b-3c)][a-(2b-3c)]
=a²-(2b-3c)²
=a²-4b²-9c²+12bc
第二大题有意思，平时都是因式分解的，这回居然是算回原式哈。
我要500分！呵呵，开玩笑，给我499分就可以了
……
言归正传，
一①原式=3a^2(x^2y^2-9)
=3a^2(xy+3)(xy-3)
②原式=a^2-4a-21+25
=a^2-4a+4
=(a-2)^2
③原式=（9a-4b)^2
二①原式=(9x^2-1)^2
=8x^4-18x^2+1
②原式=（x-1)(x+1)(x^2+1)(x^4+1)
=(x^2-1)(x^2+1)(x^4+1)
=x^8-1
③原式=（z+x-2y)(z-x+2y)
=z^2-(x-2y)^2
=z^2-x^2+3xy-4y^2
④原式=a^2-(2b-3c)^2
=a^2-4b^2+12bc-9c^2
祝学习愉快！
一、1.=3a^2(x^2y^2-9)=3a^2(xy+3)(xy-3)
2.=a^2-4a-21+25=a^2-4a+4=(a-2)^2
3.=(9a^2-4b^2)^2=(3a+2b)^2(3a-2b)^2
二、1.=(9x^2-1)^2=81x^4-18x^2+1
2.=(x^2-1)(x^2+1)(x^4+1)=(x^4-1)(x^4+1)=x^8-1
3.=z^2-(x-2y)^2=z^2-x^2+4xy-4y^2
4.=a^2-(2b-3c)^2=a^2-4b^2+12bc-9c^2
一，(1)原式=3a^2(xy+3)(xy-3)
(2)原式=a^2-4a-21+25=(a-2)^2
(3)原式=(9a^2-4b^2)^2
=(3a+2b)^2(3a-2b)^2
二，（1）原式=（9x^2-1)^2=81x^4-1
(2)原式=（x^2-1)(x^2+1)(x^4+1)
=（x^4-1）（x^4+1)=x^8-1
(3)原式=-（(x-2y)+z)((x-2y)-z)
=z^2-(x-2y)^2
=z^2+4y^2+4xy-x^2
(4)原式=a^2-(2b-3c)^2
=a^2+12bc-4b^2-9c^2
一、
①3a²（xy+1）（xy-1）
②a²-4a-21+25=（a-2）²
二、
①9x²-1
②x^8-1
③z²-（x-2y）²=z²-x²-4y²+4xy
④a²-（2b-3c）²=a²-4b²-9c²-12bc
绛旓細鍥炵瓟锛氭槸鍒濅簩鐨?
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