(xy-1)的平方-(x+y-2xy)(2-x-y)
来源：学生作业帮助网 编辑：六六作业网 时间：2025/01/31 06:09:19
(xy-1)的平方-(x+y-2xy)(2-x-y)
(xy-1)的平方-(x+y-2xy)(2-x-y)
(xy-1)的平方-(x+y-2xy)(2-x-y)
（xy-1)²-(x+y-2xy)(2-x-y)
=（xy-1)²+(x+y-2xy)(x+y-2)
=x²y²-2xy+1+(x+y)²-2(x+y)-2xy(x+y)+4xy
=x²y²-2x²y-2xy²+x²+y²+4xy-2x-2y+1
原式=x^y^-2xy+1-2x+x^+xy-2y+xy+y^+4xy-2x^y-2xy^=x^y^-2x^y+x^-2xy^+4xy-2xy^+y^-2y+1输入太费事了。整糊涂了。展开就可以了。^是平方的意思。
=（xy-1)²+(x+y-2xy)(x+y-2)
=x²y²-2xy+1+(x+y)²-2(x+y)-2xy(x+y)+4xy
=x²y²-2x²y-2xy²+x²+y²+4xy-2x-2y+1
（xy-1)²-(x+y-2xy)(2-x-y)
=（xy-1)²+(x+y-2xy)(x+y-2)
=x²y²-2xy+1+(x+y)²-2(x+y)-2xy(x+y)+4xy
=x²y²-2x²y-2xy²+x²+y²+4xy-2x-2y+1
（xy-1...
全部展开
（xy-1)²-(x+y-2xy)(2-x-y)
=（xy-1)²+(x+y-2xy)(x+y-2)
=x²y²-2xy+1+(x+y)²-2(x+y)-2xy(x+y)+4xy
=x²y²-2x²y-2xy²+x²+y²+4xy-2x-2y+1
（xy-1）²+（x+y-2）（x+y-2xy）
=x²y²-2xy+1+(x+y)²-2xy(x+y)-2(x+y)+4xy
=x²y²+2xy+1+(x+y)²-2xy(x+y)-2(x+y)
=(xy+1)²-2(xy+1)(x+y)+(x+y)²
=(xy+1-x-y)²
=[x(y-1)-(y-1)]²
=(x-1)²(y-1)²
收起