Simplify \(\frac{x(x + 1)^{\frac{1}{2}} - (x + 1)^{\frac{1}{2}}}{(x + 1)^{\frac{1}{2}}}\)
\(\frac{-1}{x + 1}\)
\(\frac{1}{x + 1}\)
\(\frac{1}{x}\)
\(\frac{1}{x - 1}\)
Correct answer is A
\(\frac{x}{(x + 1)}\) - \(\frac{\sqrt{(x + 1)}}{\sqrt(x + 1)}\)
= \(\frac{x}{x + 1}\) - 1
\(\frac{x - x - 1}{x + 1}\) = \(\frac{-1}{x + 1}\)