Question

因式分解 x的三次方-x的平方y-xy的平方+y的三次方

Answer 1

x³-x²y-xy²+y³
=(x³-x²y)-(xy²-y³)
=x²(x-y)-y²(x-y)
=(x-y)(x²-y²)
=(x-y)(x+y)(x-y)
=(x+y)(x-y)²

Answer 2

x^3-x^2y-xy^2+y^3
=x^2(x-y)-y^2(x-y)
=(x-y)(x^2-y^2)
=(x-y)(x+y)(x-y)
=(x-y)^2(x+y)