因式分解:x3+x2-y3-y2= ??? 求详细的解答过程!

2024-11-22 16:12:45
推荐回答(3个)
回答(1):

x3-y3=(x-y)(x2+xy+y2)
x2-y2=(x-y)(x+y)
因此,原式=(x-y)(x2+xy+y2+x+y)

回答(2):

解:
原式
=x³-y³+x²-y²
=(x-y)(x²+xy+y²)+(x+y)(x-y)
=(x-y)(x²+xy+y²+x+y)

回答(3):

x3+x2-y3-y2

=x3-y3+x2-y2

=(x-y)(x2+xy+y2)+(x-y)(x+y)

=(x-y)(x+y+x2+xy+y2)