(x+y)^3-x^3-y^3+3xy因式分解

问题描述:

(x+y)^3-x^3-y^3+3xy因式分解

=3xy(x+y)+3xy
=3xy(x+y+1)

(x+y)^3-x^3-y^3+3xy
=(x+y)^3-(x+y)(x²-xy+y²)+3xy
=(x+y)(x²+2xy+y²-x²+xy-y²)+3xy
=3xy(x+y)+3xy
=3xy(x+y+1)