What is expand d(10)/(s(s^2+6s+8)) ?

The solution to expand d(10)/(s(s^2+6s+8)) is (10d)/(s^3+6s^2+8s)

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expand d(10)/(s(s^2+6s+8))

expand

d \frac{10}{s ( s ^{2} + 6 s + 8 )}

\frac{10 d}{s ^{3} + 6 s ^{2} + 8 s}

Solution steps

d \frac{10}{s ( s ^{2} + 6 s + 8 )}

\frac{10}{s ( s ^{2} + 6 s + 8 )} = \frac{10}{s ^{3} + 6 s ^{2} + 8 s}

= \frac{10}{s ^{3} + 6 s ^{2} + 8 s} d

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{10 d}{s ^{3} + 6 s ^{2} + 8 s}

\frac{x ^{3} + 7 x + 12 s}{( x + 1 ) ^{3} ( x + 2 )}

\frac{( ( 12 + 3 x ) ^{2} )}{( 2 + x ) ^{6}}

\frac{10 s ^{3} + 20 s + 2}{( s ^{2} + 1 ) ( s ^{2} + 2 )}

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

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

What is expand d(10)/(s(s^2+6s+8)) ?
The solution to expand d(10)/(s(s^2+6s+8)) is (10d)/(s^3+6s^2+8s)