What is expand (s+6)/((s-1)(s-2)^2) ?

The solution to expand (s+6)/((s-1)(s-2)^2) is (s+6)/(s^3-5s^2+8s-4)

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expand (s+6)/((s-1)(s-2)^2)

expand

\frac{s + 6}{( s - 1 ) ( s - 2 ) ^{2}}

\frac{s + 6}{s ^{3} - 5 s ^{2} + 8 s - 4}

Solution steps

\frac{s + 6}{( s - 1 ) ( s - 2 ) ^{2}}

(s - 2)^{2} = s^{2} - 4 s + 4

= \frac{s + 6}{( s - 1 ) ( s ^{2} - 4 s + 4 )}

Expand

(s - 1) (s^{2} - 4 s + 4) : s^{3} - 5 s^{2} + 8 s - 4

= \frac{s + 6}{s ^{3} - 5 s ^{2} + 8 s - 4}

\frac{( 2 x + 1 ) ( x - 9 )}{x + 7}

- \frac{2 ( 3 x + 1 )}{x ^{3} ( x + 1 ) ^{5}}

4 (\frac{w + 3}{2})^{2}

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

\frac{d ^{3}}{d x ^{3}} ((y) (2 x^{7} - x^{4} - 3 x^{3}))

What is expand (s+6)/((s-1)(s-2)^2) ?
The solution to expand (s+6)/((s-1)(s-2)^2) is (s+6)/(s^3-5s^2+8s-4)