Simplify: \(\frac{x^2 - y^2}{(x + y)^2} \div \frac{(x - y)^2}{(3x + 3y)}\)
A
\(\frac{x - y}{3}\)
B
x + y
C
\(\frac{3}{x - y}\)
D
x - y
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
\(\frac{x^2 - y^2}{(x + y)^2} \div \frac{(x - y)^2}{(3x + 3y)}\)
\(\frac{(x + y)(x - y)}{(x + y)(x + y)}\div \frac{(x - y)(x - y)}{3(x + y)}\)
= \(\frac{3}{x - y}\)
Source: Myschool Past Questions Archive (Record #36860)