提公因式因式分解:2x(x+y)²-(x+y)三次方

问题描述:

提公因式因式分解:2x(x+y)²-(x+y)三次方

2x(x+y)²-(x+y)³
=(x+y)²[2x-(x+y)] 【公因式为(x+y)²】
=(x+y)²(2x-x-y)
=(x+y)²(x-y)

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2x(x+y)²-(x+y)三次方
=(x+y)^2(2x-x-y)
=(x-y)(x+y)^2