Simplify; \(\frac{2}{1 - x} - \frac{1}{x}\)
MATHEMATICS
WAEC 2016
Simplify; \(\frac{2}{1 - x} - \frac{1}{x}\)
- A. \(\frac{x + 1}{x(1 - x)}\)
- B. \(\frac{3x - 1}{ x(1 - x)}\)
- C. \(\frac{3x - 1}{ x(1 - x)}\)
- D. \(\frac{x + 1}{ x(1 - x)}\)
Correct Answer: C. \(\frac{3x - 1}{ x(1 - x)}\)
Explanation
\(\frac{2}{1 - x} - \frac{1}{x}\) = \(\frac{2x - 1(1 - x)}{x(1 - x)}\)
= \(\frac{2x - 1(1 + x)}{x(1 - x)}\)
= \(\frac{3x - 1}{x(1 - x)}\)
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