x+y=0 求x3+x2y+xy2+y3的值

问题描述:

x+y=0 求x3+x2y+xy2+y3的值

x3+x2y+xy2+y3
=x*x(x+y)+y*y(x+y)
=0

原式=x²(x+y)+y²(x+y)
=0+0
=0