If one expression with two variables x and y , is said to be symmetric, then the new expression obtained by inter changing the variables x and y is same as the given expression.

The given expression is ax^3+ 2x^2y – bxy^2 – 2y^3.————–>>[1]

Now, by interchanging x and y in [1], we get ay^3 + 2xy^2 – bx^2y – 2x^3.————->>[2]

According to symmetry [1] and [2] are equal.

By comparing the coefficients of like terms in the expressions [1]and[2] , we get a= -2 , b= -2.

## Answers ( )

Answer:If one expression with two variables x and y , is said to be symmetric, then the new expression obtained by inter changing the variables x and y is same as the given expression.

The given expression is ax^3+ 2x^2y – bxy^2 – 2y^3.————–>>[1]

Now, by interchanging x and y in [1], we get ay^3 + 2xy^2 – bx^2y – 2x^3.————->>[2]

According to symmetry [1] and [2] are equal.

By comparing the coefficients of like terms in the expressions [1]and[2] , we get a= -2 , b= -2.

Hence (a,b) = (-2,-2).

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