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Popular >

expand (K(s(s+1)(s+5)))/(1+K(s(s+1)(s+5)))

Solution

expand

\frac{K ( s ( s + 1 ) ( s + 5 ) )}{1 + K ( s ( s + 1 ) ( s + 5 ) )}

Solution

\frac{K s ^{3} + 6 K s ^{2} + 5 Ks}{1 + K s ^{3} + 6 K s ^{2} + 5 Ks}

Solution steps

\frac{K ( s ( s + 1 ) ( s + 5 ) )}{1 + K ( s ( s + 1 ) ( s + 5 ) )}

Remove parentheses:

(a) = a

= \frac{Ks ( s + 1 ) ( s + 5 )}{1 + Ks ( s + 1 ) ( s + 5 )}

Expand

1 + Ks (s + 1) (s + 5) : 1 + K s^{3} + 6 K s^{2} + 5 Ks

= \frac{Ks ( s + 1 ) ( s + 5 )}{1 + K s ^{3} + 6 K s ^{2} + 5 Ks}

Expand

Ks (s + 1) (s + 5) : K s^{3} + 6 K s^{2} + 5 Ks

= \frac{K s ^{3} + 6 K s ^{2} + 5 Ks}{1 + K s ^{3} + 6 K s ^{2} + 5 Ks}

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Frequently Asked Questions (FAQ)

What is expand (K(s(s+1)(s+5)))/(1+K(s(s+1)(s+5))) ?
The solution to expand (K(s(s+1)(s+5)))/(1+K(s(s+1)(s+5))) is (Ks^3+6Ks^2+5Ks)/(1+Ks^3+6Ks^2+5Ks)