(1-x^2)(1-y^2)+4xy因式分解(1-x^2)(1-y^2)+4xy

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/16 20:38:04

(1-x^2)(1-y^2)+4xy因式分解(1-x^2)(1-y^2)+4xy
(1-x^2)(1-y^2)+4xy因式分解
(1-x^2)(1-y^2)+4xy

(1-x^2)(1-y^2)+4xy因式分解(1-x^2)(1-y^2)+4xy
(1-x^2)(1-y^2)+4xy因式分解
=1-y^2-x^2+x^2y^2+4xy
=[x^2y^2+2xy+1]-[x^2-2xy+y^2]
=[xy+1]^2-[x-y]^2
=[xy+1+x-y][xy+1-x+y]