If a + b + c = 9 and ab + bc + ca = 26, find the value of a^2 + b^2 + c^2.

Topic: Algebra
Subtopic: Identities

A29

B31

C35

D41

Explanation

(a + b + c)^2 = a^2 + b^2 + c^2 + 2(ab + bc + ca) => 9^2 = a^2 + b^2 + c^2 + 2(26) => 81 = a^2 + b^2 + c^2 + 52 => a^2 + b^2 + c^2 = 29.

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