Consider the expression (a + b)n. according to the binomial theorem, the kth term in the expanded form of this expression (where k≤ n) is a) c(n, k)*xkyn-k b) c(n, k-1)*xkyn-k c) c(n-1, k)*xkyn-k d) c(n-1, k-1)*xkyn-k

The Given expression is

There are (n+1) terms in above expression.

To find the k-th term in the expression , we will evaluate (k+1)-th term.

⇒If the expression is of the form,

Then k-th term is given by

Option A

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!