What is expand ((s+4)k)/(s(s+1)(s^2+6s+13)) ?

The solution to expand ((s+4)k)/(s(s+1)(s^2+6s+13)) is (ks+4k)/(s^4+7s^3+19s^2+13s)

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expand ((s+4)k)/(s(s+1)(s^2+6s+13))

expand

\frac{( s + 4 ) k}{s ( s + 1 ) ( s ^{2} + 6 s + 13 )}

\frac{k s + 4 k}{s ^{4} + 7 s ^{3} + 19 s ^{2} + 13 s}

Solution steps

\frac{( s + 4 ) k}{s ( s + 1 ) ( s ^{2} + 6 s + 13 )}

Expand

s (s + 1) (s^{2} + 6 s + 13) : s^{4} + 7 s^{3} + 19 s^{2} + 13 s

= \frac{k ( s + 4 )}{s ^{4} + 7 s ^{3} + 19 s ^{2} + 13 s}

Expand

(s + 4) k : k s + 4 k

= \frac{k s + 4 k}{s ^{4} + 7 s ^{3} + 19 s ^{2} + 13 s}

\frac{( x ^{2} y ^{2} - 1 ) ^{4}}{x ^{4} y ^{4}}

- \frac{4 - 2 s}{s ( s + 2 )}

\frac{x ^{3} - 2}{( 4 x + 3 ) ( 6 x - 2 )}

(1 - x)^{4}

(x^{2} + 7 - 4) (x^{2} + 7 + 4)

What is expand ((s+4)k)/(s(s+1)(s^2+6s+13)) ?
The solution to expand ((s+4)k)/(s(s+1)(s^2+6s+13)) is (ks+4k)/(s^4+7s^3+19s^2+13s)