已知:3X^2+XY-2Y^2=0,求(X+Y)/(X-Y)+4XY/(Y^2-X^2)÷(X^2+2XY-3Y^2)/(X^2-8Y^2)的值...
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![已知:3X^2+XY-2Y^2=0,求(X+Y)/(X-Y)+4XY/(Y^2-X^2)÷(X^2+2XY-3Y^2)/(X^2-8Y^2)的值...](/uploads/image/z/1334056-40-6.jpg?t=%E5%B7%B2%E7%9F%A5%3A3X%5E2%2BXY-2Y%5E2%3D0%2C%E6%B1%82%28X%2BY%29%2F%28X-Y%29%2B4XY%2F%28Y%5E2-X%5E2%29%C3%B7%28X%5E2%2B2XY-3Y%5E2%29%2F%28X%5E2-8Y%5E2%29%E7%9A%84%E5%80%BC...)
已知:3X^2+XY-2Y^2=0,求(X+Y)/(X-Y)+4XY/(Y^2-X^2)÷(X^2+2XY-3Y^2)/(X^2-8Y^2)的值...
已知:3X^2+XY-2Y^2=0,求(X+Y)/(X-Y)+4XY/(Y^2-X^2)÷(X^2+2XY-3Y^2)/(X^2-8Y^2)的值.
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已知:3X^2+XY-2Y^2=0,求(X+Y)/(X-Y)+4XY/(Y^2-X^2)÷(X^2+2XY-3Y^2)/(X^2-8Y^2)的值...
3X^2+XY-2Y^2=0
分解因式得:(X+Y)(3X-2Y)=0
注意到所求分式里有Y^2-X^2作为分母,所以X+Y≠0,只能取3X-2Y=0
代入X=2Y/3即可