If `a-b=6` and `a b=20 ,` find the value of `a^3-b^3`

Explanation

To find the value of \( a^3 - b^3 \) given that \( a - b = 6 \) and \( ab = 20 \), we can follow these steps:

### Step 1: Use the identity for \( a^3 - b^3 \)
The identity for the difference of cubes is:
\[ a^3 - b^3 = (a - b)(a^2 + b^2 + ab) \]
We already know \( a - b = 6 \) and \( ab = 20 \). We need to find \( a^2 + b^2 \).
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