If `x+y=12` and `x y=27 ,` find the value of `x^3+y^3`

Explanation

To find the value of \( x^3 + y^3 \) given that \( x + y = 12 \) and \( xy = 27 \), we can use the algebraic identity:

\[ x^3 + y^3 = (x + y)(x^2 - xy + y^2) \]

We can also express \( x^2 + y^2 \) in terms of \( x + y \) and \( xy \) using the identity:

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