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If the expression ax^3+2x^2y-bxy^2-2y^3 ...

If the expression `ax^3+2x^2y-bxy^2-2y^3` is symmetric, then `(a,b)` =

Text Solution

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`x=y`
`ax^3+2x^2y-bxy^2-2y^2=ay^3+2y^2x-byx^2-2x^3`
`ax^3+2x^2y-bxy^2-2y^3=-2x^3-bx^2y+2y^2x+ay^3`
`a=-2`
`b=-2`
`(a,b)=(-2,-2)`.
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