if a +b+c=9 and ab+bc+ca=26,find `a^(2)+b^(2)+c^(2).`

Explanation

To find \( a^2 + b^2 + c^2 \) given the equations \( a + b + c = 9 \) and \( ab + bc + ca = 26 \), we can use the identity:

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

### Step-by-step Solution:

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