What is expand (2(1.6s^2+10s+33111258.278))/(s^2) ?

The solution to expand (2(1.6s^2+10s+33111258.278))/(s^2) is 3.2+(20)/s+(66222516.556)/(s^2)

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expand (2(1.6s^2+10s+33111258.278))/(s^2)

expand

\frac{2 ( 1.6 s ^{2} + 10 s + 33111258.278 )}{s ^{2}}

3.2 + \frac{20}{s} + \frac{66222516.556}{s ^{2}}

Solution steps

\frac{2 ( 1.6 s ^{2} + 10 s + 33111258.278 )}{s ^{2}}

Expand

2 (1.6 s^{2} + 10 s + 33111258.278) : 3.2 s^{2} + 20 s + 66222516.556

= \frac{3.2 s ^{2} + 20 s + 66222516.556}{s ^{2}}

Apply the fraction rule:

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

\frac{3.2 s ^{2} + 20 s + 66222516.556}{s ^{2}} = \frac{3.2 s ^{2}}{s ^{2}} + \frac{20 s}{s ^{2}} + \frac{66222516.556}{s ^{2}}

= \frac{3.2 s ^{2}}{s ^{2}} + \frac{20 s}{s ^{2}} + \frac{66222516.556}{s ^{2}}

Cancel

\frac{3.2 s ^{2}}{s ^{2}} : 3.2

= 3.2 + \frac{20 s}{s ^{2}} + \frac{66222516.556}{s ^{2}}

Cancel

\frac{20 s}{s ^{2}} : \frac{20}{s}

= 3.2 + \frac{20}{s} + \frac{66222516.556}{s ^{2}}

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\frac{( 3 x - 2 ) ( 4 x - 3 )}{( x - 5 ) ( x - 1 )}

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What is expand (2(1.6s^2+10s+33111258.278))/(s^2) ?
The solution to expand (2(1.6s^2+10s+33111258.278))/(s^2) is 3.2+(20)/s+(66222516.556)/(s^2)