若X乘（X-1)-(X的2次方-Y)=-2,求X的2次方加Y的2次方除以2-2Y加2X-XY_数学解答

若X乘（X-1)-(X的2次方-Y)=-2,求X的2次方加Y的2次方除以2-2Y加2X-XY

人气：428 ℃　时间：2019-08-17 21:07:50

解答

x(x-1)-(x^2-y)=-2
x^2-x-x^2+y=-2
-x+y=-2
x-y=2
(x^2+y^2)/2-2y+2x-xy
=(x^2-2xy+y^2)/2+(2x-2y)
=(x-y)^2/2+2(x-y)
=2^2/2+2*2
=2+4
=6