You can take x = a, 2y = b and then can apply the binomial theorem.
The expansion of given expression is given by:
Option D: is
It provides algebraic expansion of exponentiated(integer) binomial.
According to binomial theorem,
Taking a = x, and b =2y, we have n = 7, thus:
Thus, Option D: is correct.
Learn more about binomial theorem here:
1. You need to multiply the denominator by something that will make the content of the radical be a square—so that when you take the square root, you get something rational. Easiest and best is to multiply by √6. Of course, you must multiply the numerator by the same thing. Then simplify.
2. Identify the squares under the radical and remove them.