x^3-4y^3+x^2y-4xy^2
问题描述:
x^3-4y^3+x^2y-4xy^2
答
x^3-4y^3+x^2y-4xy^2
=x^3+x^2y-4y^3-4xy^2
=x²(x+y)-4y²(x+y)
=(x+y)(x²-4y²)
=(x+y)(x+2y)(x-2y)