SOLUTION: find the coefficient of x^4 in the expansion of (x+1/x)^(5) x (x-1/x)^(3)

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Question 1160863: find the coefficient of x^4 in the expansion of (x+1/x)^(5) x (x-1/x)^(3)
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!










Using Pascal's triangle:



So we only need to multiply the terms which will give us
a term in x12 on top since we have x8 on the bottom, and
the exponents will subtract to give exponent 4.







So the coefficient of x4 in the original problem is also -2

Edwin
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