利用提公因式法因式分解(要详细步骤)(x+y)^3-(x-y)^2(x+y)

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/29 09:22:39

利用提公因式法因式分解(要详细步骤)(x+y)^3-(x-y)^2(x+y)
利用提公因式法因式分解(要详细步骤)
(x+y)^3-(x-y)^2(x+y)

利用提公因式法因式分解(要详细步骤)(x+y)^3-(x-y)^2(x+y)
(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)

(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)