若|x-3|+（y+2）=0,则（x-y+4xy/x-y）（x+y-4xy/x+y）的值是_数学解答

若|x-3|+（y+2）=0,则（x-y+4xy/x-y）（x+y-4xy/x+y）的值是

人气：451 ℃　时间：2020-02-08 21:19:47

解答

由已知得：X-3=0,Y+2=0 解得：X=3,Y=-2,∴原式=［(X-Y)^2+4XY)］/(X-Y)］［(X+Y)^2-4XY］/(X+Y) =(X+Y)^2(X-Y)^2/［(X-Y)(X+Y)］ =(X+Y)(X-Y) =X^2-Y^2 =9-4 =5.