What is expand (5s^2+34s+53)/((s+3)^2(s+1)) ?

The solution to expand (5s^2+34s+53)/((s+3)^2(s+1)) is (5s^2+34s+53)/(s^3+7s^2+15s+9)

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expand (5s^2+34s+53)/((s+3)^2(s+1))

expand

\frac{5 s ^{2} + 34 s + 53}{( s + 3 ) ^{2} ( s + 1 )}

\frac{5 s ^{2} + 34 s + 53}{s ^{3} + 7 s ^{2} + 15 s + 9}

Solution steps

\frac{5 s ^{2} + 34 s + 53}{( s + 3 ) ^{2} ( s + 1 )}

(s + 3)^{2} = s^{2} + 6 s + 9

= \frac{5 s ^{2} + 34 s + 53}{( s ^{2} + 6 s + 9 ) ( s + 1 )}

Expand

(s^{2} + 6 s + 9) (s + 1) : s^{3} + 7 s^{2} + 15 s + 9

= \frac{5 s ^{2} + 34 s + 53}{s ^{3} + 7 s ^{2} + 15 s + 9}

\frac{0.04}{s ^{3} ( s ^{2} + 0.04 )} - \frac{25}{s ^{2} + 0.04}

h (h + 1 - h = \frac{1}{2})

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

\frac{1}{( u - 1 ) ( u + 3 )}

π (a h^{2} - \frac{h ^{3}}{3})

What is expand (5s^2+34s+53)/((s+3)^2(s+1)) ?
The solution to expand (5s^2+34s+53)/((s+3)^2(s+1)) is (5s^2+34s+53)/(s^3+7s^2+15s+9)