深圳到桂林阳朔高铁:因式分解(x+y)*(x+y+2xy)+(xy+1)*(xy-1)
来源:百度文库 编辑:中科新闻网 时间:2024/05/11 23:49:14
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)
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来源:百度文库 编辑:中科新闻网 时间:2024/05/11 23:49:14
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)