Finding the Coefficient of a Power of x in the Binomial Expansion

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In the binomial expansion ofthe coefficient ofisThis is the (r+1)th term in the binomial expansion ofin ascending powers of

Suppose that a=2 and b=3x^2 . To find the coefficient ofin the binomial expansion ofputthen the coefficient ofis and the coefficient ofis

If both a and b are terms in x then things get slightly more complicated.

Suppose we want to find the coefficient ofin the binomial expansion of

andso the coefficient ofisand the (r+1)th term is

Putthenso the coeeficient ofis

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