教师职称跨省还承认么:紧急数学题求助!在线等!!!

来源:百度文库 编辑:查人人中国名人网 时间:2024/05/04 15:42:12
将xy(x-y)-x(x-y)^2分解因式,要求详细过程

提取公因式X(X-Y)

愿式=X(X-Y)[Y-(X-Y)]
=X(X-Y)(2Y-X)

=(xy-(x(x-y))(x-y)
=(2*xy-x*x)(x-y)

xy(x-y)-x(x-y)^2
=x(x-y)(y-x+y)
=x(x-y)(2y-x)

原式=x(xy-y^2-x^2-y^2+2xy)
=-x(x^2-3xy+2y^2)
=-x(x-2y)(x-y)

=XX-XY-YY-X^2
=X(的平方)-XY-Y(的平方)^2
=X(的平方)-XY-Y(的平方)*2

x(x-y)(2y-x)