If a + b = 7 and ab = 12, what is a^2 + b^2?
A23
B25
C27
D29
Explanation
Using identity (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: Basic Algebra & Equations
- Subtopic: Algebraic Identities

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