因式分解:6(x-y)^3-18(y-x)^2

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/10 06:41:09

因式分解:6(x-y)^3-18(y-x)^2
因式分解:6(x-y)^3-18(y-x)^2

因式分解:6(x-y)^3-18(y-x)^2
6(x-y)^3-18(y-x)^2
=6(x-y)^3-18(x-y)^2
把(x-y)看做a
=6a²(a-3)
=6(x-y)²(x-y-3)

=6(x-y)^3-18(x-y)^2
=6(x-y)^2[(x-y)-3]
=6(x-y)^2(x-y-3)

6(x-y)^3-18(y-x)^2
=6(x-y)(x-y)^2-18(y-x)^2
=6(x-y-3)(x-y)^2