因式分解(1+2xy)^2-(x^2+y^2)^2

来源:学生作业帮助网 编辑:作业帮 时间:2024/06/10 11:15:53
因式分解(1+2xy)^2-(x^2+y^2)^2
x){:{=O;^,_amTQgQg]gd$JΆXpBtº aWF 1j ǰh Fv%֌IbJARM" օ #9 ,k

因式分解(1+2xy)^2-(x^2+y^2)^2
因式分解(1+2xy)^2-(x^2+y^2)^2

因式分解(1+2xy)^2-(x^2+y^2)^2
(1+2xy)^2-(x^2+y^2)^2
=(1+2xy-x^2-y^2)(1+2xy+x^2+y^2)

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