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For nonnnegative integers a and b, where a >= 2 and b >= 2, simplify
binom{a + b}{2} + binom{2a + b}{2} + binom{a + 2b}{2} - binom{a - b}{2}

 May 21, 2024
 #1
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This simplifies to a^2 + b^2.

 May 31, 2024

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