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Simplify; (frac{2}{1 – x} – frac{1}{x})

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: Option B
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)})