What is expand (k*(s^2+s+0.1))/s ?

The solution to expand (k*(s^2+s+0.1))/s is ks+k+(0.1k)/s

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expand (k*(s^2+s+0.1))/s

expand

\frac{k \cdot ( s ^{2} + s + 0.1 )}{s}

k s + k + \frac{0.1 k}{s}

Solution steps

\frac{k ( s ^{2} + s + 0.1 )}{s}

Expand

k (s^{2} + s + 0.1) : k s^{2} + k s + 0.1 k

= \frac{k s ^{2} + k s + 0.1 k}{s}

Apply the fraction rule:

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

\frac{k s ^{2} + k s + 0.1 k}{s} = \frac{k s ^{2}}{s} + \frac{k s}{s} + \frac{0.1 k}{s}

= \frac{k s ^{2}}{s} + \frac{k s}{s} + \frac{0.1 k}{s}

Cancel

\frac{k s ^{2}}{s} : k s

= k s + \frac{k s}{s} + \frac{0.1 k}{s}

Cancel

\frac{k s}{s} : k

= k s + k + \frac{0.1 k}{s}

(\frac{3 x ^{2}}{2} - \frac{1}{3 x})^{5}

\frac{( tan ^{2} ( x ) - 7 ) ( tan ( x ) - 8 )}{tan ( x ) + 1}

\frac{1}{2} (θ + \frac{1}{2} sin (2 θ))

x^{2} sin (x) - 2 (- x cos (x) + sin (x)) + C

25 (2 - π)

What is expand (k*(s^2+s+0.1))/s ?
The solution to expand (k*(s^2+s+0.1))/s is ks+k+(0.1k)/s