x3+y3怎样化成(x+y)(x2-xy+y2)

问题描述:

x3+y3怎样化成(x+y)(x2-xy+y2)

x3+y3
=x³+x²y-x²y-xy²+xy²+y³
=x²(x+y)-xy(x+y)+y²(x+y)
=(x+y)(x²-xy+y²)