已知x-y=11求(xy-1)的平方＋(x+y-2)×(x+y-2xy)的值_数学解答

已知x-y=11求(xy-1)的平方＋(x+y-2)×(x+y-2xy)的值

人气：400 ℃　时间：2020-02-03 01:21:25

解答

x=y+11
(y^2+11y-1)^2+(2y+9)(2y+11-2y^2-22y)
=y^4+121y^2+1+22y^3-2y^2-22y-40y^2-180y+22y+99-4y^3-18y^2
=y^4+18y^3+61y^2-180y+100