问题标题:
初一数学题.做对的悬赏100分因式分解:16(a-b)²-9(a+b)².(x+y)(m+n)²-(x+y)(m-n)².(x²+y²)²-4x²y²《要2步的过程,只要2步就好》
问题描述:

初一数学题.做对的悬赏100分

因式分解:16(a-b)²-9(a+b)².(x+y)(m+n)²-(x+y)(m-n)².(x²+y²)²-4x²y²《要2步的过程,只要2步就好》各位大虾,做对的悬赏100分,认识我的人都知道,这100分我会给

付旭回答:
  16(a-b)²-9(a+b)²   ={4(a-b)}²-{3(a+b)}²   ={4(a-b)+3(a+b)}x{4(a-b)-3(a+b)}   =(7a-b)(a-7b)   (x+y)(m+n)²-(x+y)(m-n)²   =(x+y)[(m+n)²-(m-n)²]   =(x+y)[(m+n+m-n)(m+n-m+n)]   (x²+y²)²-4x²y²   =(x²+y²)²-(2xy)²   =(x²+y²+2xy)(x²+y²-2xy)=(x+y)²(x-y)²
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