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

Mathematics
WAEC 2013

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
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Correct Answer: Option C
Explanation

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

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

= \(\frac{3}{x - y}\)


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