# If a + b + c = 9 and ab + bc + ca = 23, find the value of a2 + b2 + c2.

Concept Used:

(a + b + c)2 = a2 + b2 + c2 + 2(ab + bc + ca)

Explanation:

Given: a + b + c = 9 and ab + bc + ca = 23

(9)2 = a2 + b2 + c2 + 2(23)

a2 + b2 + c2 = 81 – 46

a2 + b2 + c2 = 35

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