因式分解:x3+x2-y3-y2= ??? 求详细的解答过程!

2024年11月22日 16:12
有3个网友回答
网友(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)

网友(2):

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

网友(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)