化简分式 x^2-y^2分之1/2x^2+xy-1.5y^2_数学解答

化简分式 x^2-y^2分之1/2x^2+xy-1.5y^2

人气：282 ℃　时间：2019-12-13 06:19:34

解答

x^2-y^2分之1/2x^2+xy-1.5y^2
=1/2x^2+xy-1.5y^2/(x^2-y^2)
=(x^2+2xy-3y^2)/[2(x-y)(x+y)]
=(x-y)(x+3y)/[2(x-y)(x+y)]
=(x+3y)/[2(x+y)]
=1/2+[y/(x+y)]