If (4 x+2 y)^3+(4 x-2 y)^3=16 ( {\Ax}^3+B x y^2), then what is the value of \frac{1}{2} (\sqrt{ {\A}^2+ {\B}^2}) ?

SSC CGL 11 Apr 2022 Shift 2 Paper

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(4 x+2 y)^3+(4 x-2 y)^3=16 ( {\Ax}^3+B x y^2) \;\;

, then what is the value of

\;{1}/{2} (√{ {\A}^2+ {\B}^2}) ?

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