SOLUTION: The 11th term in the expansion of (x+2y)^14

Algebra ->  Statistics  -> Binomial-probability -> SOLUTION: The 11th term in the expansion of (x+2y)^14      Log On


   

Question 1060088: The 11th term in the expansion of (x+2y)^14
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!

If we count the first term as the k=0th term, then the
kth term of (A+B)n is (nCk)An-kBk

The 11th term of the expansion of (x+2y)14 is
the k=10th term if we count the first term as the 0th term.

So we substitute k=10, A=x, B=2y, n=14.

(nCk)An-kBk 

(14C10)x14-10(2y)10

1001x4(2y)10

1001x4210y10

1001x41024y10

1025024x4y10

Edwin