因式分解ax^3y+axy^3-2ax^2y^2

题目

因式分解ax^3y+axy^3-2ax^2y^2
(x-1)(x-2)-2(2-x)^2; (a^2+ab+b^2)^2-9a^2b^2

答案

ax³y+axy³-2ax²y²=axy(x²+y²-2xy)=axy(x-y)²(x-1)(x-2)-2(2-x)²=(x-2)[(x-1)-2(x-2)]=(x-2)(x-1-2x+4)=(x-2)(3-x)(a²+ab+b²)²-9a²b²=(a²+ab...