What is expand (10(s+80)(s+300))/s ?

The solution to expand (10(s+80)(s+300))/s is 10s+3800+(240000)/s

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expand (10(s+80)(s+300))/s

expand

\frac{10 ( s + 80 ) ( s + 300 )}{s}

10 s + 3800 + \frac{240000}{s}

Solution steps

\frac{10 ( s + 80 ) ( s + 300 )}{s}

Expand

10 (s + 80) (s + 300) : 10 s^{2} + 3800 s + 240000

= \frac{10 s ^{2} + 3800 s + 240000}{s}

Apply the fraction rule:

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

\frac{10 s ^{2} + 3800 s + 240000}{s} = \frac{10 s ^{2}}{s} + \frac{3800 s}{s} + \frac{240000}{s}

= \frac{10 s ^{2}}{s} + \frac{3800 s}{s} + \frac{240000}{s}

Cancel

\frac{10 s ^{2}}{s} : 10 s

= 10 s + \frac{3800 s}{s} + \frac{240000}{s}

Cancel

\frac{3800 s}{s} : 3800

= 10 s + 3800 + \frac{240000}{s}

(e^{x} + e^{- x}) sin (x)

\frac{2 x}{( 0.5 - x ) ( 1.5 - 3 x )}

\frac{2 s ^{2} - 1}{s ( s ^{2} + s )}

\frac{6}{( s + 6 ) ^{3}}

- π sin (\frac{1}{2 π} (t - 1))

What is expand (10(s+80)(s+300))/s ?
The solution to expand (10(s+80)(s+300))/s is 10s+3800+(240000)/s