What is expand (1.2538(1+0.16s)(1+0.16s))/s ?

The solution to expand (1.2538(1+0.16s)(1+0.16s))/s is (1.2538)/s+0.401216+0.03209728s

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expand (1.2538(1+0.16s)(1+0.16s))/s

expand

\frac{1.2538 ( 1 + 0.16 s ) ( 1 + 0.16 s )}{s}

\frac{1.2538}{s} + 0.401216 + 0.03209728 s

Solution steps

\frac{1.2538 ( 1 + 0.16 s ) ( 1 + 0.16 s )}{s}

1.2538 (1 + 0.16 s) (1 + 0.16 s) = 1.2538 (1 + 0.16 s)^{2}

= \frac{1.2538 ( 0.16 s + 1 ) ^{2}}{s}

(1 + 0.16 s)^{2} = 1 + 0.32 s + 0.0256 s^{2}

= \frac{1.2538 ( 0.0256 s ^{2} + 0.32 s + 1 )}{s}

Expand

1.2538 (1 + 0.32 s + 0.0256 s^{2}) : 1.2538 + 0.401216 s + 0.03209728 s^{2}

= \frac{1.2538 + 0.401216 s + 0.03209728 s ^{2}}{s}

Apply the fraction rule:

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

\frac{1.2538 + 0.401216 s + 0.03209728 s ^{2}}{s} = \frac{1.2538}{s} + \frac{0.401216 s}{s} + \frac{0.03209728 s ^{2}}{s}

= \frac{1.2538}{s} + \frac{0.401216 s}{s} + \frac{0.03209728 s ^{2}}{s}

Cancel

\frac{0.401216 s}{s} : 0.401216

= \frac{1.2538}{s} + 0.401216 + \frac{0.03209728 s ^{2}}{s}

Cancel

\frac{0.03209728 s ^{2}}{s} : 0.03209728 s

= \frac{1.2538}{s} + 0.401216 + 0.03209728 s

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What is expand (1.2538(1+0.16s)(1+0.16s))/s ?
The solution to expand (1.2538(1+0.16s)(1+0.16s))/s is (1.2538)/s+0.401216+0.03209728s