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

The solution to expand (s^2+2)/((s^2+1)(s^2+6)) is (s^2+2)/(s^4+7s^2+6)

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expand (s^2+2)/((s^2+1)(s^2+6))

expand

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

\frac{s ^{2} + 2}{s ^{4} + 7 s ^{2} + 6}

Solution steps

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

Expand

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

= \frac{s ^{2} + 2}{s ^{4} + 7 s ^{2} + 6}

\frac{d}{d x} ((t) (cos (t) + 8 t + 2 sin (3 t)))

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

(1, 3) y (- 1, - 2)

\frac{4 x ^{2}}{( 1 + x ^{2} ) ^{3}}

\frac{2 ( x ^{2} - 1 )}{x ^{2} - 3}

What is expand (s^2+2)/((s^2+1)(s^2+6)) ?
The solution to expand (s^2+2)/((s^2+1)(s^2+6)) is (s^2+2)/(s^4+7s^2+6)