因式分解几道计算题 要过程~ 因式分解还有几道计算题,求过程
\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
(1)
=\uff088a^2-1)(8a^2+1)
(2)
=3x(x²-4xy+4y²)=3x(x-2y)^2
(3)
=1-4+9/4=-3/4
(4)
12/(m^2-9)+2/(3-m)+2/(m+3)
=12/(m+3)(m-3)-2(m+3)/(m+3)(m-3)+2(m-3)/(m+3)(m-3)
=[12-2(m+3)+2(m-3)]/(m+3)(m-3)
=(12-2m-6+2m-6)/(m+3)(m-3)
=0
(5)
5/(x-1)=3/(x+1)
5(x+1)=3(x-1)
5x+5=3x-3
2x=-8
x=-4
(6)
4/(x²-2x)+1/x=2/(x-2)
4+x-2=2x
x=2
(x²-1)/(x²+2x+1)/(x-1)/(x+1)-x/(x+1)
=(x+1)(x-1)/(x+1)²*(x+1)/(x-1)-x/(x+1)
=(x-1)/(x+1)\u00d7(x+1)/(x-1)-x/(x+1)
=1 - x/(x+1)
=(x+1-x)/(x+1)
=1/(x+1)
x=2\u65f6\uff0c\u539f\u5f0f=1/(2+1)=1/3
=(x+y+1)(x+y-1)
(2)a的四次方乘以x的2次方-a的4次方乘以y的2次方
=a的4次方(x的2次方-y的2次方)(平方差)
=a的4次方(x+y)(x-y)
(3)3x的平方+6xy+3y的平方
=3(x的平方+2xy+y的平方)(完全平方公式 )
=3(x+y)的平方
(4)(x-y)的平方+4xy
=x的平方-2xy+y的平方+4xy
=x的平方+2xy+y的平方
=(x+y)的平方
(5)4a的平方-3b乘以(4a-3b)
=4a的平方-12ab+9b的平方
=(2a-3b)的平方
1、(x+y)^2-1=(x+y+1)(x+y-1)
2、a^4*(x^2-y^2)=a^4*(x+y)(x-y)
3、3x^2+6xy+3y^2=3(x^2+2xy+y^2)=3(x+y)^2
4、(x-y)^2+4xy=x^2-2xy+y^2+4xy=x^2+2xy+y^2=(x+y)^2
5、4a^2-3b(4a-3b)=(2a)^2-2*2a*3b+(3b)^2=(2a-3b)^2
解:﹙1﹚﹙x+y﹚²-1=﹙x+y-1﹚﹙x+y+1﹚
﹙2﹚a^4x²-a^4y²=a^4﹙x-y﹚﹙x+y﹚
﹙3﹚3x²+6xy+3y²=3﹙x+y﹚²
﹙4﹚﹙x-y﹚²+4xy=﹙x+y﹚²
﹙5﹚ 4a²-3b﹙4a-3b﹚=﹙2a-3b﹚²
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