把多项式x^2(a-1)+x^3(1-a)分解因式正确的是( )

问题描述:

把多项式x^2(a-1)+x^3(1-a)分解因式正确的是( )
A.(a-1)(x^2+x^3)
B.(a-1)(x^2-x^3)
C.x^2(1+x)(a-1)
D.x^2(a-1)(1-x)

x^2(a-1)+x^3(1-a)
=x^2(a-1)-x^3(a-1)
=x^2(a-1)(1-x)
D.x^2(a-1)(1-x)