What is expand ((s+1)(2s+1))/s ?

The solution to expand ((s+1)(2s+1))/s is 2s+3+1/s

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expand ((s+1)(2s+1))/s

expand

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

2 s + 3 + \frac{1}{s}

Solution steps

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

Expand

(s + 1) (2 s + 1) : 2 s^{2} + 3 s + 1

= \frac{2 s ^{2} + 3 s + 1}{s}

Apply the fraction rule:

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

\frac{2 s ^{2} + 3 s + 1}{s} = \frac{2 s ^{2}}{s} + \frac{3 s}{s} + \frac{1}{s}

= \frac{2 s ^{2}}{s} + \frac{3 s}{s} + \frac{1}{s}

Cancel

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

= 2 s + \frac{3 s}{s} + \frac{1}{s}

Cancel

\frac{3 s}{s} : 3

= 2 s + 3 + \frac{1}{s}

\frac{1 - x ^{2}}{x ^{3} ( x ^{2} + 7 )}

\frac{mn}{r ( 2 m + 1 )}

\frac{h}{x ( x + h )}

(4 - 4 y + y^{2}) d y

(5 x^{2} y^{2} - x y^{2} + 17 y^{2}) d x

What is expand ((s+1)(2s+1))/s ?
The solution to expand ((s+1)(2s+1))/s is 2s+3+1/s