Question

x的3次方减去的y的3次方如何分解因式

Answer 1

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