计算:若2x+y=0,则代数式4x³+2xy(x+y)+y³

问题描述:

计算:若2x+y=0,则代数式4x³+2xy(x+y)+y³

4x³+2xy(x+y)+y³
=4x³+2x²y+2xy²+y³
=2x²(2x+y)+y²(2x+y)
=(2x+y)(2x²+y²)
=0