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Simplify: \(\frac{x^2 - y^2}{(x + y)^2} \div \frac{(x -...

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

View answer & explanation

Correct answer is C

$\frac{x^2 - y^2}{(x + y)^2} \div \frac{(x - y)^2}{(3x + 3y)}$

$\frac{(x + y)(x - y)}{(x + y)(x + y)}\div \frac{(x - y)(x - y)}{3(x + y)}$

= $\frac{3}{x - y}$

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