(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
答
(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)