(x²-y²)(x+y)-(x-y)³

2026年09月25日 08:46
有2个网友回答
网友(1):

(x²-y²)(x+y)-(x-y)³
=(x-y)(x+y)(x+y)-(x-y)³
=(x-y)[(x+y)²-(x-y)²]
=(x-y)(x+y+x-y)(x+y-x+y)
=4xy(x-y)

网友(2):

(x²-y²)(x+y)-(x-y)³
=(x+y)(x-y)(x+y)-(x-y)³
=(x-y)((x+y)²-(x-y)²)
=(x-y)(x+y+x-y)(x+y-(x-y))
=(x-y)(2x)(2y)
=4xy(x-y)