Question

因式分解2x^2y-x^3-xy^2 4-12(x-y）+9（x-y）^2

Answer 1

2x^2y-x^3-xy^2

=-x(x²-2xy+y²)

=-x(x-y)²

4-12(x-y）+9（x-y）^2

=[3(x-y)]²-2×2×[3(x-y)]+2²

=[3(x-y)-2]²

=(3x-3y-2)²