Simplify: \(\frac{x^2 - y^2}{(x + y)^2} + \frac{(x - y)^2}{(3x + 3y)}\)
MATHEMATICS
WAEC 2013
Simplify: \(\frac{x^2 - y^2}{(x + y)^2} + \frac{(x - y)^2}{(3x + 3y)}\)
- A. \(\frac{x - y}{3}\)
- B. x + y
- C. \(\frac{3}{x - y}\)
- D. x - y
Correct Answer: C. \(\frac{3}{x - y}\)
Explanation
\(\frac{x^2 - y^2}{(x + y)^2} + \frac{(x - y)^2}{(3x + 3y)}\)
\(\frac{(x + y)(x - y)}{(x + y)(x + y)} + \frac{(x - y)(x - y)}{3(x + y)}\)
= \(\frac{3}{x - y}\)
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