因式分解:(x-y)(x^2+xy+y^2)-xy(y-x)
问题描述:
因式分解:(x-y)(x^2+xy+y^2)-xy(y-x)
都是对的要我怎么搞最佳答案啊,郁闷
答
原式=(x-y)(x²+xy+y²)+xy(x-y)
=(x-y)(x²+xy+y²+xy)
=(x-y)(x²+2xy+y²)
=(x-y)(x+y)²