if the expression ax³+2x²y-bxy²-2y³ is symmetric, then (a+b)=?​

Question

if the expression ax³+2x²y-bxy²-2y³ is symmetric, then (a+b)=?​

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Delilah 3 weeks 2021-10-01T21:46:44+00:00 1 Answer 0 views 0

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    2021-10-01T21:48:42+00:00

    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).

    hope you satisfied with my answer

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