(3x+2y)\(2x-y)=3\5且(xy=\0)求(3x^2+2y^2)\(2x^2-y^2)的值
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(3x+2y)\(2x-y)=3\5且(xy=\0)求(3x^2+2y^2)\(2x^2-y^2)的值
![(3x+2y)\(2x-y)=3\5且(xy=\0)求(3x^2+2y^2)\(2x^2-y^2)的值](/uploads/image/z/15452967-39-7.jpg?t=%283x%2B2y%29%5C%282x-y%29%3D3%5C5%E4%B8%94%EF%BC%88xy%3D%5C0%29%E6%B1%82%283x%5E2%2B2y%5E2%29%5C%282x%5E2-y%5E2%29%E7%9A%84%E5%80%BC)
(3x+2y)\(2x-y)=3\5
5(3x+2y)=3(2x-y)
15x+10y=6x-3y
9x=-13y
x/y=-13/9
(3x^2+2y^2)\(2x^2-y^2)
=(3(x/y)^2+2)/(2(x/y)^2-1)
=(3*(-13/9)^2+2)/(2*(-13/9)^2-1)
=(3*169+2*81)/(2*169-81)
=669/257
5(3x+2y)=3(2x-y)
15x+10y=6x-3y
9x=-13y
x/y=-13/9
(3x^2+2y^2)\(2x^2-y^2)
=(3(x/y)^2+2)/(2(x/y)^2-1)
=(3*(-13/9)^2+2)/(2*(-13/9)^2-1)
=(3*169+2*81)/(2*169-81)
=669/257
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