Question

x的三次方+x的平方+x-y的三次方-y的平方-y 分解因式

Answer 1

x^3+x^2+x-y^3-y^2-y
=(x^3-y^3)+(x^2-y^2)+(x-y)
=(x-y)(x^2+xy+y^2)+(x-y)(x+y)+(x-y)
=(x-y)(x^2+xy+y^2+x+y+1)