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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}

 Dec 3, 2022
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This simplifies to a^3 + 3a^2 b + 3ab^2 + b^3.

 Dec 3, 2022

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