Question #N853
Which of the following is equivalent to $(x+y)^2 - (x-y)^2$?
A. 2x^2 + 2y^2
B. 4xy
C. 2x^2 - 2y^2
D. x^2 - y^2
Correct Answer is: B
We can use the difference of squares pattern to simplify the expression. The difference of squares pattern states that $a^2 - b^2 = (a+b)(a-b)$. Applying this pattern to our expression, we get: $(x+y)^2 - (x-y)^2 = (x+y + x-y)(x+y - x+y)$ Simplifying, we get $(2x)(2y) = 4xy$.