(x+y)的立方+2x y(1-x-y)-1因式分解要过程

问题描述:

(x+y)的立方+2x y(1-x-y)-1因式分解要过程

(x+y)的立方+2x y(1-x-y)-1
=(x+y-1)[(x+y)²+(x+y)+1]-2xy(x+y-1)
=(x+y-1)(x²+2xy+y²+x+y+1-2xy)
=(x+y-1)(x²+y²+x+y+1)