If `a+b+c=15\ a n d\ a^2+b^2+c^2=83 ,` find the value of `a^3+b^3+c^3-3a b c`

Explanation

To find the value of \( a^3 + b^3 + c^3 - 3abc \) given that \( a + b + c = 15 \) and \( a^2 + b^2 + c^2 = 83 \), we can use the identity:

\[ a^3 + b^3 + c^3 - 3abc = (a + b + c)(a^2 + b^2 + c^2 - ab - ac - bc) \]

### Step 1: Calculate \( ab + ac + bc \)

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