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, 2021 Difficulty 2.0 Junior Find the answer United Kingdom
The numbers m m m k k k 2 m + 2 k = p 2^m + 2^k = p 2 m + 2 k = p 2 m − 2 k = q 2^m - 2^k = q 2 m − 2 k = q 2 m + k 2^{m+k} 2 m + k p p p q q q
(A) p 2 − q 2 4 \frac{p^2 - q^2}{4} 4 p 2 − q 2 p q 2 \frac{pq}{2} 2 pq p + q p + q p + q ( p − q ) 2 4 \frac{(p-q)^2}{4} 4 ( p − q ) 2 p + q p − q \frac{p+q}{p-q} p − q p + q
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