分解因式x^2+2xy+y^2+2x+2y-3

问题描述:

分解因式x^2+2xy+y^2+2x+2y-3

原式=(x+y)^2+2(x+y)-3=(x+y+3)(x+y-1) [将(x+y)看做一个整体即可]

x²+2xy+y²+2x+2y-3
原式=(x+y)²+2(x+y)-3
设 x+y=m
=m²+2m-3
=(m+3)(m-1)
=(x+y+3)(x+y-1)
回答完毕,望采纳

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

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