What is expand (100(s-4))/((s+3)(s+2)^2) ?

The solution to expand (100(s-4))/((s+3)(s+2)^2) is (100s-400)/(s^3+7s^2+16s+12)

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expand (100(s-4))/((s+3)(s+2)^2)

expand

\frac{100 ( s - 4 )}{( s + 3 ) ( s + 2 ) ^{2}}

\frac{100 s - 400}{s ^{3} + 7 s ^{2} + 16 s + 12}

Solution steps

\frac{100 ( s - 4 )}{( s + 3 ) ( s + 2 ) ^{2}}

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

= \frac{100 ( s - 4 )}{( s + 3 ) ( s ^{2} + 4 s + 4 )}

Expand

(s + 3) (s^{2} + 4 s + 4) : s^{3} + 7 s^{2} + 16 s + 12

= \frac{100 ( s - 4 )}{s ^{3} + 7 s ^{2} + 16 s + 12}

Expand

100 (s - 4) : 100 s - 400

= \frac{100 s - 400}{s ^{3} + 7 s ^{2} + 16 s + 12}

\frac{x ^{2} + 1}{x ^{2} ( x + 1 )}

(p - 11)^{2}

(3 - 2 i)^{5}

\frac{1}{2} cot (4 x) (1 - tan^{2} (4 x))

What is expand (100(s-4))/((s+3)(s+2)^2) ?
The solution to expand (100(s-4))/((s+3)(s+2)^2) is (100s-400)/(s^3+7s^2+16s+12)