(x+y)^3-(x-y)^2(x+y)因式分解

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举报该问题

第1个回答 2012-02-14

原式为：（x＋y）³－(x－y)²(x＋y)
=(x＋y)(x＋y)²－(x＋y)(x－y)²
=(x＋y)【（x＋y）²－(x－y)²】
=(x＋y)2x2y
=4xy(x＋y)本回答被提问者采纳

第2个回答 2012-02-15

解：原式=(x+y)((x+y)^2-(x-y)^2)
=(x+y)(x+y+x-y)(x+y-x+y)
=4xy((x+y)

第3个回答 2012-02-15

解：（x+y)³-(x-y)²(x+y)=(x+y)[(x+y)²-(x-y)²]
=(x+y)(x+y+x-y)(x+y-x+y)
=4xy((x+y)

第4个回答 2012-02-14

解：（x+y)^3-(x-y)^2(x+y)=(x+y)((x+y)^2-(x-y)^2)
=(x+y)(x+y+x-y)(x+y-x+y)
=4xy((x+y)

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因式分解:(x+y)^3(x-y)-(x+y)(x-y)^3,答：=（x+y)(x-y)[(x+y)^2-(x-y)^2]=(x^2-y^2)[x^2+y^2+2xy-x^2-y^2+2xy] (将大括号的两个算式展开）=4xy(x^2-y^2)希望你能采纳，祝你愉快！

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