因式分解-6a^3+4ab^3-2a^2b,3a^2(x-y)+27(y-x)

问题描述:

因式分解-6a^3+4ab^3-2a^2b,3a^2(x-y)+27(y-x)

-6a^3+4ab^2-2a^2b
=-2a(3a^2-2b^2+ab)
=-2a(3a-2b)(a+b)
3a^2(x-y)+27(y-x)
=3a^2(x-y)-27(x-y)
=3(x-y)(a^2-9)
=3(x-y)(a-3)(a+3)