老伴全部演员表:因式分解(x+y)*(x+y+2xy)+(xy+1)*(xy-1)
来源:百度文库 编辑:高校问答 时间:2024/05/19 06:38:57
原式=(x+y)(x+y)+2(x+y)xy+(xy)^2-1^2
=(x+y)^2+2(x+y)xy+(xy)^2-1
=(x+y+xy)^2-1
=(x+y+xy-1)(x+y+xy+1)
=(x+y+xy-1)(x+1)(y+1)
原式=(x+y)(x+y)+2(x+y)xy+(xy)^2-1^2
=(x+y)^2+2(x+y)xy+(xy)^2-1
=(x+y+xy)^2-1
=(x+y+xy-1)(x+y+xy+1)
=(x+y+xy-1)(x+1)(y+1)