y(y-1)-x(x-1)因式分解

问题描述:

y(y-1)-x(x-1)因式分解

=y²-y-x²+x
=y²-x² -y+x
=(y-x)(y+x)-(y-x)
=(y-x)(y+x-1)

原式=y²-y-x²+x
=(y²-x²)-y+x
=(y+x)(y-x)-(y-x)
=(y-x)(y+x-1)