If `a+b=10` and `a b=21 ,` find the value of `a^3+b^3`

Explanation

To find the value of \( a^3 + b^3 \) given that \( a + b = 10 \) and \( ab = 21 \), we can use the algebraic identity for the sum of cubes:

\[ a^3 + b^3 = (a + b)(a^2 - ab + b^2) \]

### Step 1: Calculate \( a^2 + b^2 \)

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