What is expand ((10)/(s(s+2)(s+4)))(1/s) ?

The solution to expand ((10)/(s(s+2)(s+4)))(1/s) is (10)/(s^4+6s^3+8s^2)

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expand ((10)/(s(s+2)(s+4)))(1/s)

expand

(\frac{10}{s ( s + 2 ) ( s + 4 )}) (\frac{1}{s})

\frac{10}{s ^{4} + 6 s ^{3} + 8 s ^{2}}

Solution steps

(\frac{10}{s ( s + 2 ) ( s + 4 )}) (\frac{1}{s})

Remove parentheses:

(a) = a

= \frac{10}{s ( s + 2 ) ( s + 4 )} \cdot \frac{1}{s}

\frac{10}{s ( s + 2 ) ( s + 4 )} = \frac{10}{s ^{3} + 6 s ^{2} + 8 s}

= \frac{10}{s ^{3} + 6 s ^{2} + 8 s} \cdot \frac{1}{s}

Multiply fractions:

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

= \frac{10 \cdot 1}{( s ^{3} + 6 s ^{2} + 8 s ) s}

Multiply the numbers:

10 \cdot 1 = 10

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

Expand

(s^{3} + 6 s^{2} + 8 s) s : s^{4} + 6 s^{3} + 8 s^{2}

= \frac{10}{s ^{4} + 6 s ^{3} + 8 s ^{2}}

- \frac{( 9 y ^{2} - 4 ) ( x z ^{^{'}} - z )}{( 2 z - 3 y x ) ^{2}}

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

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

t^{2} + 3 t + 2 t (2 t + 1)

What is expand ((10)/(s(s+2)(s+4)))(1/s) ?
The solution to expand ((10)/(s(s+2)(s+4)))(1/s) is (10)/(s^4+6s^3+8s^2)