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Find the total number of terms in the expansion of (x + a)^11 - (x - a)^11 after simplification.

 Jun 13, 2021
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Let $A$ be the number of terms in the expansion of $(x+a)^{11}$.  (This $A$ is also the number of terms in the expansion of $(x-a)^{11}$.)  Let $B$ be the number of terms in the expansion of $(x+a)^{11}$ that are the same as the terms in the expansion of $(x-a)^{11}$.  The answer is $A-B$.
 

 Jun 13, 2021

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