What is expand (6.3223(s+1.4235)^2)/s ?

The solution to expand (6.3223(s+1.4235)^2)/s is 6.3223s+17.9995881+(12.81120…)/s

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expand (6.3223(s+1.4235)^2)/s

expand

\frac{6.3223 ( s + 1.4235 ) ^{2}}{s}

6.3223 s + 17.9995881 + \frac{12.81120 \dots}{s}

Solution steps

\frac{6.3223 ( s + 1.4235 ) ^{2}}{s}

(s + 1.4235)^{2} = s^{2} + 2.847 s + 2.02635225

= \frac{6.3223 ( s ^{2} + 2.847 s + 2.02635225 )}{s}

Expand

6.3223 (s^{2} + 2.847 s + 2.02635225) : 6.3223 s^{2} + 17.9995881 s + 12.81120 \dots

= \frac{6.3223 s ^{2} + 17.9995881 s + 12.81120 \dots}{s}

Apply the fraction rule:

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

\frac{6.3223 s ^{2} + 17.9995881 s + 12.81120 \dots}{s} = \frac{6.3223 s ^{2}}{s} + \frac{17.9995881 s}{s} + \frac{12.81120 \dots}{s}

= \frac{6.3223 s ^{2}}{s} + \frac{17.9995881 s}{s} + \frac{12.81120 \dots}{s}

Cancel

\frac{6.3223 s ^{2}}{s} : 6.3223 s

= 6.3223 s + \frac{17.9995881 s}{s} + \frac{12.81120 \dots}{s}

Cancel

\frac{17.9995881 s}{s} : 17.9995881

= 6.3223 s + 17.9995881 + \frac{12.81120 \dots}{s}

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What is expand (6.3223(s+1.4235)^2)/s ?
The solution to expand (6.3223(s+1.4235)^2)/s is 6.3223s+17.9995881+(12.81120…)/s