Mathematics

Write as a single fraction (frac{1}{1 – x} + frac{2}{1 + x})

Write as a single fraction (frac{1}{1 – x} + frac{2}{1 + x})

  • A.
    (frac{x + 3}{1 – x^2})
  • B.
    (frac{3 – x}{(1 – x)^2})
  • C.
    (frac{3 – x}{1 + x^2})
  • D.
    (frac{3 – x}{(1 + x)^2})
  • E.
    (frac{3 – x}{1 – x^2})
Correct Answer: Option E
Explanation

(frac{1}{1 – x} + frac{2}{1 + x})

= (frac{(1 + x) + 2(1 – x)}{(1 – x)(1 + x)})

= (frac{1 + x + 2 – 2x}{1 – x^2})

= (frac{3 – x}{1 – x^2})