已知2x/y+3y/x=-5,则4x^2+10XY+6Y^2/2X^2+3Y^2=
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已知2x/y+3y/x=-5,则4x^2+10XY+6Y^2/2X^2+3Y^2=
![已知2x/y+3y/x=-5,则4x^2+10XY+6Y^2/2X^2+3Y^2=](/uploads/image/z/6042776-32-6.jpg?t=%E5%B7%B2%E7%9F%A52x%2Fy%2B3y%2Fx%3D-5%2C%E5%88%994x%5E2%2B10XY%2B6Y%5E2%2F2X%5E2%2B3Y%5E2%3D)
分子分母同除以xy
=(4x^2/xy+10xy/xy+6y^2/xy)/(2x^2/xy+3y^2/xy)
=(4x/y+10+6y/x)/(2x/y+3y/x)
=[2(2x/y+3y/x)+10]/(2x/y+3y/x)
=[2*(-5)+10]/(-5)
=0/(-5)
=0
=(4x^2/xy+10xy/xy+6y^2/xy)/(2x^2/xy+3y^2/xy)
=(4x/y+10+6y/x)/(2x/y+3y/x)
=[2(2x/y+3y/x)+10]/(2x/y+3y/x)
=[2*(-5)+10]/(-5)
=0/(-5)
=0
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