What is (sqrt(1+x)-x/(2sqrt(1+x)))/(1+x) ?

The solution to (sqrt(1+x)-x/(2sqrt(1+x)))/(1+x) is (2+x)/(2sqrt(1+x)(1+x))

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simplify (sqrt(1+x)-x/(2sqrt(1+x)))/(1+x)

simplify

\frac{1 + x - \frac{x}{2 1 + x}}{1 + x}

\frac{2 + x}{2 1 + x ( 1 + x )}

Solution steps

\frac{1 + x - \frac{x}{2 1 + x}}{1 + x}

Join

1 + x - \frac{x}{2 1 + x} : \frac{2 + x}{2 1 + x}

= \frac{\frac{2 + x}{2 1 + x}}{1 + x}

Apply the fraction rule:

\frac{\frac{a}{b}}{c} = \frac{a}{b \cdot c}

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

(\frac{2 r ^{3}}{s})^{2} (\frac{s}{r ^{3}})^{3}

\frac{1}{2} \cdot 6 \cdot 4

\frac{1}{2 + i} - \frac{5}{1 + 4 i}

\frac{5}{8} + \frac{3}{8}

\frac{2 π}{\frac{x}{2}}

What is (sqrt(1+x)-x/(2sqrt(1+x)))/(1+x) ?
The solution to (sqrt(1+x)-x/(2sqrt(1+x)))/(1+x) is (2+x)/(2sqrt(1+x)(1+x))