问题 填空题

分解因式:x2(x+y)+2xy(x+y)+y2(x+y)=______.

答案

x2(x+y)+2xy(x+y)+y2(x+y)

=(x+y)(x2+2xy+y2

=(x+y)(x+y)2

=(x+y)3

故答案为:(x+y)3

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