What is the coefficient of in ?

MATHEMATICS · Single correct · A Level · Mathematics · Sequences and series · Sequences and series

Problem

What is the coefficient of x5x^{5} in (1+x)10−(1−x)10(1+x)^{10}-(1-x)^{10}? (a) 252252 (b) −504-504 (c) 504504 (d) 420420

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