Simplify (frac{x(x + 1)^{frac{1}{2}} – (x + 1)^{frac{1}{2}}}{(x + 1)^{frac{1}{2}}})

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

(frac{x}{(x + 1)}) – (frac{sqrt{(x + 1)}{sqrt{x + 1}})
= (frac{x}{x + 1}) – 1
(frac{x – x – 1}{x + 1}) = (frac{-1}{x + 1})

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