先分解因式,后求值ax(x-3y)^2-3ay(x-3y)^2-2b(3y-x)^3,其中a+2b=0

问题描述:

先分解因式,后求值ax(x-3y)^2-3ay(x-3y)^2-2b(3y-x)^3,其中a+2b=0
现有的看不懂,还有就是别人回答的(x-3y)^2(ax-3ay+2b(x-3y))
=(x-3y)^2(a+2b)(x-3y)是怎么变的,
`````````````````````````````

(3y-x)^3
=-(x-3y)^3
所以原式=ax(x-3y)^2-3ay(x-3y)^2+2b(x-3y)^3
=(x-3y)^2[ax-3ay+2b(x-3y)]
=(x-3y)^2[a(x-3y)+2b(x-3y)]
=(x-3y)^3(a+2b)
=(x-3y)^3×0
=0