问题标题:
【(x²+y²)²-4x²y²(x+y)²-4(x+y-1)因式分解】
问题描述:

(x²+y²)²-4x²y²(x+y)²-4(x+y-1)因式分解

郭祎华回答:
  (x²+y²)²-4x²y²   =[(x²+y²)+2xy][(x²+y²)-2xy]   =(x²+2xy+y²)(x²-2xy+y²)   =(x+y)²(x-y)²   (x+y)²-4(x+y-1)   =(x+y)²-4(x+y)+4   =[(x+y)-2]²   =(x+y-2)²
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