What is expand (500k)/((s^2+25s+100k)(s^2+1)) ?

The solution to expand (500k)/((s^2+25s+100k)(s^2+1)) is (500k)/(s^4+s^2+25s^3+25s+100ks^2+100k)

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expand (500k)/((s^2+25s+100k)(s^2+1))

expand

\frac{500 k}{( s ^{2} + 25 s + 100 k ) ( s ^{2} + 1 )}

\frac{500 k}{s ^{4} + s ^{2} + 25 s ^{3} + 25 s + 100 k s ^{2} + 100 k}

Solution steps

\frac{500 k}{( s ^{2} + 25 s + 100 k ) ( s ^{2} + 1 )}

Expand

(s^{2} + 25 s + 100 k) (s^{2} + 1) : s^{4} + s^{2} + 25 s^{3} + 25 s + 100 k s^{2} + 100 k

= \frac{500 k}{s ^{4} + s ^{2} + 25 s ^{3} + 25 s + 100 k s ^{2} + 100 k}

7 (5 + 11)

- \frac{4 x}{5 ( x ^{2} + y )}

sin (x) (cos (x) + cos (x) sin (x))

\frac{180 ( 5 - x ^{2} )}{( x ^{2} + 15 ) ^{3}}

(240 cos (w x) - 29 cos (3 w x))^{2}

What is expand (500k)/((s^2+25s+100k)(s^2+1)) ?
The solution to expand (500k)/((s^2+25s+100k)(s^2+1)) is (500k)/(s^4+s^2+25s^3+25s+100ks^2+100k)