分解因式[(x+y)²-(x+y)(x-y)]÷2y 要具体过程,谢谢

2025-06-29 08:04:23
推荐回答(3个)
回答1:

原式=(x²+2xy+y²-x²+y²)÷2y
=(2xy+2y²)÷2y
=x+y

回答2:

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

回答3:

解:[(x+y)²-(x+y)(x-y)]÷2y
=[(x+y)(x+y-x+y)]÷2y
=[(x+y)×2y]÷2y
=x+y