Question

Which of the following is an equivalent expression to 4xy?

A. (x+y)^2 - (x+y)^2
B. (x+y)^2 - (x-y)^2
C. 2(x+y)^2 - (x+y)^2
D. (x+y)^2 - 2(x-y)^2

Answer 1

the answer is B.

Explanation:

The expression 4xy can be written as:

4xy = 22x*y

Notice that 2*2 = (x+y)^2 - (x-y)^2. Therefore, we can substitute this expression into 4xy and obtain:

4xy = (x+y)^2 - (x-y)^2 * x * y

We can simplify the second term by factoring out xy:

4xy = (x+y)^2 - (x-y)^2 * xy

Now, we can see that the equivalent expression to 4xy is option B, which is:

(x+y)^2 - (x-y)^2

Therefore, the answer is B.