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
<h3>What is binomial theorem?</h3>
It provides algebraic expansion of exponentiated(integer) binomial.
According to binomial theorem,

<h3>How to use binomial theorem for given expression?</h3>
Taking a = x, and b =2y, we have n = 7, thus:

Thus, Option D:
is correct.
Learn more about binomial theorem here:
brainly.com/question/86555
sides of right angle triangle follows Pythagoras theorem
a^2 + b^2 = c^2
where a, b and c are sides of triangle
if you check, option 3 follow this. so answer is option 3

+

equals

.
First, simplify

to

and also

to

. Your problem should look like:

+

.
Second, find the least common denominator of

and

to get 9.
Third, make the denominators the same as the least common denominator (LCD). Your problem should look like:

+

.
Fourth, simplify to get the denominators the same. Your problem should look like:

+

.
Fifth, join the denominators. Your problem should look like:

.
Sixth, simplify. Your problem should look like:

, which is the answer.