It is a question from binomial theorem Matching problem Plz solve it

Dear student

(D) -------> s (no need to solve)
(C) -------> r (no need to solve)
(A) -------> p (see below)
(B) -------> q (see below)

we need to solve only one the remaining one will automaticlly be calculated

lets see for case (q)
put m = 0 ( as there will be either second or second last term term in (q) which will be independent of x but that wont be possible with option (A) but possible with option (B) )
(it wont be possible with option (A) because mC1,2,3,.. wont exist hence ruled out)
therefore (B) can be related to (q)

and remaining for (A)