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

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

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

expand

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

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

Solution steps

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

Expand

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

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