If (a + b) = 7 and ab = 12, what is the value of (a^2 + b^2)?
A25
B29
C37
D49
Explanation
(a + b)^2 = a^2 + b^2 + 2ab => 7^2 = a^2 + b^2 + 2(12) => 49 = a^2 + b^2 + 24 => a^2 + b^2 = 25.
Exam Relevance
- Topic: Algebra
- Subtopic: Identities

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