Find the value of `27 x^3+\ 8y^3,` if (i)`3x+2y=14` and `x y=8` (ii)`3x+2y=20\ ` and `x y=(14)/9`

Explanation

To find the value of \(27x^3 + 8y^3\) for the given conditions, we can use the algebraic identity:

\[ (a + b)^3 = a^3 + b^3 + 3ab(a + b) \]

where \(a = 3x\) and \(b = 2y\).

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