What is 1+(K*885.4)/((s+40)(s^2+98)) ?

The solution to 1+(K*885.4)/((s+40)(s^2+98)) is (s^3+98s+40s^2+3920+885.4K)/((s+40)(s^2+98))

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simplify 1+(K*885.4)/((s+40)(s^2+98))

simplify

1 + \frac{K \cdot 885.4}{( s + 40 ) ( s ^{2} + 98 )}

\frac{s ^{3} + 98 s + 40 s ^{2} + 3920 + 885.4 K}{( s + 40 ) ( s ^{2} + 98 )}

Solution steps

1 + \frac{K \cdot 885.4}{( s + 40 ) ( s ^{2} + 98 )}

Apply the fraction rule:

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

= \frac{( s + 40 ) ( s ^{2} + 98 ) + K \cdot 885.4}{( s + 40 ) ( s ^{2} + 98 )}

Simplify

(s + 40) (s^{2} + 98) + K \cdot 885.4 : s^{3} + 98 s + 40 s^{2} + 3920 + 885.4 K

= \frac{s ^{3} + 98 s + 40 s ^{2} + 3920 + 885.4 K}{( s + 40 ) ( s ^{2} + 98 )}

- 3 (ln (5 x) + 1)

\frac{4000 ( s ^{2} + 4 s + 4 )}{s ( s + 10 ) ( s + 100 )}

\frac{10 ( 12 - 15 )}{3}

a cos (b (x - c)) + d

\frac{( 2 ( 1 - cot ( 2 x ) ) ( sec ^{2} ( 2 x ) ) - 2 ( csc ^{2} ( 2 x ) ) ( tan ( 2 x ) ) )}{( 1 - cot ( 2 x ) ) ^{2}}

What is 1+(K*885.4)/((s+40)(s^2+98)) ?
The solution to 1+(K*885.4)/((s+40)(s^2+98)) is (s^3+98s+40s^2+3920+885.4K)/((s+40)(s^2+98))