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