几道因式分解题,我做完了,和同学对答案都不一样.4(2p+3q)²-(3p+q)²

问题描述:

几道因式分解题,我做完了,和同学对答案都不一样.4(2p+3q)²-(3p+q)²
(5x-3y)²-(3x-5y)² 169(a-b)²-196(a+b)²
a²(a-b)+b²(b-a)
1个回答 分类:综合 2014-12-11

问题解答:

我来补答
4(2p+3q)²-(3p+q)²=(4p+6q+3p+q)(4p+6q-3p-q)=7(p+q)(p+5q)
(5x-3y)²-(3x-5y)² =(5x-3y+3x-5y)(5x-3y-3x+5y)=(8x-8y)(2x+2y)=16(x-y)(x+y)
169(a-b)²-196(a+b)²=(13a-13b+14a+14b)(13a-13b-14a-14b)=-(27a+b)(27b+a)
a²(a-b)+b²(b-a)=(a²-b²)(a-b)=(a+b)(a-b)²
再问: (8x-8y)(2x+2y)=16(x-y)(x+y)我有点没看明白
再答: (8x-8y)(2x+2y)=8(x-y)*2(x+y)=16(x-y)(x+y)
 
 
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