Exam-Style Question on Proof
A mathematics exam-style question with a worked solution that can be revealed gradually
Question id: 629. This question is similar to one that appeared on an IB AA Higher paper in 2022. The use of a calculator is not allowed.
Prove that the integers \(a\) and \(b\) cannot both be odd if \(a^2+b^2\) is exactly divisible by 4.
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