What is expand (8x+10)/((s+1)(s+2)^3) ?

The solution to expand (8x+10)/((s+1)(s+2)^3) is (8x+10)/(s^4+7s^3+18s^2+20s+8)

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expand (8x+10)/((s+1)(s+2)^3)

expand

\frac{8 x + 10}{( s + 1 ) ( s + 2 ) ^{3}}

\frac{8 x + 10}{s ^{4} + 7 s ^{3} + 18 s ^{2} + 20 s + 8}

Solution steps

\frac{8 x + 10}{( s + 1 ) ( s + 2 ) ^{3}}

(s + 2)^{3} = s^{3} + 6 s^{2} + 12 s + 8

= \frac{8 x + 10}{( s + 1 ) ( s ^{3} + 6 s ^{2} + 12 s + 8 )}

Expand

(s + 1) (s^{3} + 6 s^{2} + 12 s + 8) : s^{4} + 7 s^{3} + 18 s^{2} + 20 s + 8

= \frac{8 x + 10}{s ^{4} + 7 s ^{3} + 18 s ^{2} + 20 s + 8}

\frac{( x + 1 ) ( x + 2 ) ( 2 x + 3 )}{6}

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

(sec (x) +, - 1) (sec (x) -, + 1)

\frac{x ^{4} ( 16 x ^{2} y ^{6} + 3 ) ^{2}}{16}

What is expand (8x+10)/((s+1)(s+2)^3) ?
The solution to expand (8x+10)/((s+1)(s+2)^3) is (8x+10)/(s^4+7s^3+18s^2+20s+8)