How do you find the coefficient of x^6 in the expansion of (2x+3)^10?
1 Answer
Jan 4, 2016
Calculate the binomial coefficient and appropriate powers of
1088640
Explanation:
(2x+3)^10 = sum_(k=0)^10 ((10),(k)) 2^(10-k)3^k x^(10-k)
The term in
((10),(4)) 2^6*3^4
=(10!)/(4! 6!)*64*81
=(10xx9xx8xx7)/(4xx3xx2xx1)*64*81
=210*64*81 = 1088640
Instead of calculating