分解因式(x+y)3-x3-y3+3xy 要具体过程

2024-12-16 20:35:18
推荐回答(2个)
回答1:

解:
(x+y)³-x³-y³+3xy
=x³+y³+3x²y+3xy²-x³-y³+3xy
=3x²y+3xy²+3xy
=3xy(x+y+1)

回答2:

(x+y)3-x3-y3+3xy
=x³+3x²y+3xy²+y³-x³-y³+3xy
=3x²y+3xy²+3xy
=3xy(x+y+1)