Find the term containing y^14 in the expansion of (x^2 +y)^22

Answer:   , which is the 15th term.the general term  for the expansion of  is given by    where  represents the distance from the leftmost term and  . e.g., if you want the very first term, k = 0. the second term, k = 1, etc.for your binomial of  , we have  ,  and  . thus the general term is    by inspection, we see that  need to be 14 so that we can get a term with a  .so when k=14:         the answer is  , which is the 15th term.