Simplify \(\frac{2}{2 + x} + \frac{2}{2 - x}\)
MATHEMATICS
WAEC 2010
Simplify \(\frac{2}{2 + x} + \frac{2}{2 - x}\)
- A. \(\frac{4}{4 - x^3}\)
- B. \(\frac{8}{4 - x^2}\)
- C. \(\frac{4x}{4 - x^2}\)
- D. \(\frac{8 - 4x}{4 - x^2}\)
Correct Answer: B. \(\frac{8}{4 - x^2}\)
Explanation
\(\frac{2}{2 + x} + \frac{2}{2 - x}\)
\(\frac{2(2 - x) + 2(2 + x)}{(2 + x)(2 - x)} = \frac{4 - 2x + 4 + 2x}{4 - 2x + 2x - x^2}\)
= \(\frac{8}{4 - x^2}\)
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