What is expand 6/((s-2)*(s^2-4s+5)^2) ?

The solution to expand 6/((s-2)*(s^2-4s+5)^2) is 6/(s^5-10s^4+42s^3-92s^2+105s-50)

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expand 6/((s-2)*(s^2-4s+5)^2)

expand

\frac{6}{( s - 2 ) \cdot ( s ^{2} - 4 s + 5 ) ^{2}}

\frac{6}{s ^{5} - 10 s ^{4} + 42 s ^{3} - 92 s ^{2} + 105 s - 50}

Solution steps

\frac{6}{( s - 2 ) ( s ^{2} - 4 s + 5 ) ^{2}}

(s^{2} - 4 s + 5)^{2} = s^{4} - 8 s^{3} + 26 s^{2} - 40 s + 25

= \frac{6}{( s - 2 ) ( s ^{4} - 8 s ^{3} + 26 s ^{2} - 40 s + 25 )}

Expand

(s - 2) (s^{4} - 8 s^{3} + 26 s^{2} - 40 s + 25) : s^{5} - 10 s^{4} + 42 s^{3} - 92 s^{2} + 105 s - 50

= \frac{6}{s ^{5} - 10 s ^{4} + 42 s ^{3} - 92 s ^{2} + 105 s - 50}

(y^{'} (x) - 1) (y + 2 x)

\frac{1}{6} (2 x^{\frac{3}{2}} - 2 - sin (2 (x^{\frac{3}{2}} - 1))) + C

(x^{3} - 2 x) l e f t (5 x^{2} + 2)

What is expand 6/((s-2)*(s^2-4s+5)^2) ?
The solution to expand 6/((s-2)*(s^2-4s+5)^2) is 6/(s^5-10s^4+42s^3-92s^2+105s-50)