What is 1+(K(s+1)(s+5.65))/(s^3) ?

The solution to 1+(K(s+1)(s+5.65))/(s^3) is (s^3+Ks^2+6.65Ks+5.65K)/(s^3)

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simplify 1+(K(s+1)(s+5.65))/(s^3)

simplify

1 + \frac{K ( s + 1 ) ( s + 5.65 )}{s ^{3}}

\frac{s ^{3} + K s ^{2} + 6.65 Ks + 5.65 K}{s ^{3}}

Solution steps

1 + \frac{K ( s + 1 ) ( s + 5.65 )}{s ^{3}}

Apply the fraction rule:

1 + \frac{b}{c} = \frac{c + b}{c}

= \frac{s ^{3} + K ( s + 1 ) ( s + 5.65 )}{s ^{3}}

Simplify

s^{3} + K (s + 1) (s + 5.65) : s^{3} + K s^{2} + 6.65 Ks + 5.65 K

= \frac{s ^{3} + K s ^{2} + 6.65 Ks + 5.65 K}{s ^{3}}

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What is 1+(K(s+1)(s+5.65))/(s^3) ?
The solution to 1+(K(s+1)(s+5.65))/(s^3) is (s^3+Ks^2+6.65Ks+5.65K)/(s^3)