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Scaled products and half-sums
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Scaled products and half-sums
Secondary 2
TGM Original Questions
Given \(a^2+b^2=30\) and \((a-b)^2=50\), find \(\frac{2ab}{5}\).
Given \(m-n=6\) and \(m^2-n^2=42\), find \((\frac{m+n}{2})^2\).
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Answer:
(a) \(-4\); (b) \(\frac{49}{4}\).
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