已知2x-y=10,求（(x^2+y^2)-(x-y)^2+2y(x-y))/4y-(x-y)'2怎么变成)-(x^2-2xy+y_数学解答

已知2x-y=10,求（(x^2+y^2)-(x-y)^2+2y(x-y))/4y
-(x-y)'2怎么变成)-(x^2-2xy+y^2)

人气：367 ℃　时间：2020-04-12 05:20:17

解答

[(x^2+y^2)-(x-y)^2+2y(x-y)]/4y
=[(x^2+y^2)-(x^2-2xy+y^2)+2xy-2y^2]/4y
=[x^2+y^2-x^2+2xy-y^2+2xy-2y^2]/4y
=(4xy-2y^2)/4y
=2y(2x-y)/4y
=(2x-y)/2
=10/2
=5-(x-y)'2怎么变成)-(x^2-2xy+y^2)不是完全平方差公式么