What is expand (sqrt(x(1+x))+C)/x ?

The solution to expand (sqrt(x(1+x))+C)/x is (sqrt(x+x^2))/x+C/x

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expand (sqrt(x(1+x))+C)/x

expand

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

\frac{x + x ^{2}}{x} + \frac{C}{x}

Solution steps

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

Expand

x (1 + x) : x + x^{2}

= \frac{x ^{2} + x + C}{x}

Apply the fraction rule:

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

\frac{x + x ^{2} + C}{x} = \frac{x + x ^{2}}{x} + \frac{C}{x}

= \frac{x ^{2} + x}{x} + \frac{C}{x}

(2 e^{2 t} cos (t) - sin (t) \cdot e^{2 t})^{2}

2 ce n t ro (\frac{1}{2}, - 3)

(x^{\circ} - 2 z^{\circ}) \cdot 2 (3 x y x^{\circ} + x y^{2} z^{2} y^{\circ} - 4 x^{2} y z^{2} z^{\circ})

(\frac{yy - 2 y + 1}{4})^{2}

\frac{d}{d y} ((x (y)) (\frac{y ^{6}}{6} + \frac{1}{16 y ^{4}})^{2})

What is expand (sqrt(x(1+x))+C)/x ?
The solution to expand (sqrt(x(1+x))+C)/x is (sqrt(x+x^2))/x+C/x