What is expand ((s+1)(s+30.1))/s ?

The solution to expand ((s+1)(s+30.1))/s is s+31.1+(30.1)/s

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expand ((s+1)(s+30.1))/s

expand

\frac{( s + 1 ) ( s + 30.1 )}{s}

s + 31.1 + \frac{30.1}{s}

Solution steps

\frac{( s + 1 ) ( s + 30.1 )}{s}

Expand

(s + 1) (s + 30.1) : s^{2} + 31.1 s + 30.1

= \frac{s ^{2} + 31.1 s + 30.1}{s}

Apply the fraction rule:

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

\frac{s ^{2} + 31.1 s + 30.1}{s} = \frac{s ^{2}}{s} + \frac{31.1 s}{s} + \frac{30.1}{s}

= \frac{s ^{2}}{s} + \frac{31.1 s}{s} + \frac{30.1}{s}

Cancel

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

= s + \frac{31.1 s}{s} + \frac{30.1}{s}

Cancel

\frac{31.1 s}{s} : 31.1

= s + 31.1 + \frac{30.1}{s}

(sec (x) sc x - tan (x)) sec (x)

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

\frac{1}{( x ^{2} - a ^{2} ) ^{2}}

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

2 (\frac{2}{2} + \frac{4}{5})

What is expand ((s+1)(s+30.1))/s ?
The solution to expand ((s+1)(s+30.1))/s is s+31.1+(30.1)/s