What is expand 1/((s+a)(s+b)^2) ?

The solution to expand 1/((s+a)(s+b)^2) is 1/(s^3+2bs^2+b^2s+as^2+2abs+ab^2)

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expand 1/((s+a)(s+b)^2)

expand

\frac{1}{( s + a ) ( s + b ) ^{2}}

\frac{1}{s ^{3} + 2 b s ^{2} + b ^{2} s + a s ^{2} + 2 ab s + a b ^{2}}

Solution steps

\frac{1}{( s + a ) ( s + b ) ^{2}}

(s + b)^{2} = s^{2} + 2 b s + b^{2}

= \frac{1}{( s + a ) ( s ^{2} + 2 b s + b ^{2} )}

Expand

(s + a) (s^{2} + 2 s b + b^{2}) : s^{3} + 2 b s^{2} + b^{2} s + a s^{2} + 2 ab s + a b^{2}

= \frac{1}{s ^{3} + 2 b s ^{2} + b ^{2} s + a s ^{2} + 2 ab s + a b ^{2}}

\frac{3 ( x + 2 )}{5}

3 (11 + 2)

(x - 3)^{3}

\frac{1 - e ^{- 2 π s}}{( s ^{2} + 1 ) ( s ^{2} + 4 )}

\frac{7 e ^{x}}{( 7 + e ^{x} ) ^{2}}

What is expand 1/((s+a)(s+b)^2) ?
The solution to expand 1/((s+a)(s+b)^2) is 1/(s^3+2bs^2+b^2s+as^2+2abs+ab^2)