化简计算求值
已知: xy-x-y-4=0,
求(xy-1)^2-2x^2y-2xy^2+x^2+y^2+6xy-2x-2y的值
(xy-1)^2-2x^2y-2xy^2+x^2+y^2+6xy-2x-2y
=x^2 y^2 + 1 - 2xy - 2x^2 y - 2xy^2 + x^2 + y^2 + 4xy + 2(xy-x-y)
=(xy-x-y)^2 + 2(xy-x-y) + 1
=(xy-x-y+1)^2
=25
已知: xy-x-y-4=0,
求(xy-1)^2-2x^2y-2xy^2+x^2+y^2+6xy-2x-2y的值
(xy-1)^2-2x^2y-2xy^2+x^2+y^2+6xy-2x-2y
=x^2 y^2 + 1 - 2xy - 2x^2 y - 2xy^2 + x^2 + y^2 + 4xy + 2(xy-x-y)
=(xy-x-y)^2 + 2(xy-x-y) + 1
=(xy-x-y+1)^2
=25