Simplify (frac{2}{2 + x} + frac{2}{2 – x})

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: Option B
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 – x62})

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