What is expand (10(s+2)^2)/((s^2+2s+2)^2) ?

The solution to expand (10(s+2)^2)/((s^2+2s+2)^2) is (10s^2+40s+40)/(s^4+4s^3+8s^2+8s+4)

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expand (10(s+2)^2)/((s^2+2s+2)^2)

expand

\frac{10 ( s + 2 ) ^{2}}{( s ^{2} + 2 s + 2 ) ^{2}}

\frac{10 s ^{2} + 40 s + 40}{s ^{4} + 4 s ^{3} + 8 s ^{2} + 8 s + 4}

Solution steps

\frac{10 ( s + 2 ) ^{2}}{( s ^{2} + 2 s + 2 ) ^{2}}

(s^{2} + 2 s + 2)^{2} = s^{4} + 4 s^{3} + 8 s^{2} + 8 s + 4

= \frac{10 ( s + 2 ) ^{2}}{s ^{4} + 4 s ^{3} + 8 s ^{2} + 8 s + 4}

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

= \frac{10 ( s ^{2} + 4 s + 4 )}{s ^{4} + 4 s ^{3} + 8 s ^{2} + 8 s + 4}

Expand

10 (s^{2} + 4 s + 4) : 10 s^{2} + 40 s + 40

= \frac{10 s ^{2} + 40 s + 40}{s ^{4} + 4 s ^{3} + 8 s ^{2} + 8 s + 4}

x^{2} (x ln (x) - x)

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

(r + e)^{3} + (r + e)^{2}

\frac{p ( x )}{( x - 1 ) ( x + 1 ) ( x - 2 ) ( x + 2 )}

\frac{4}{s ^{2} ( s + 2 )}

What is expand (10(s+2)^2)/((s^2+2s+2)^2) ?
The solution to expand (10(s+2)^2)/((s^2+2s+2)^2) is (10s^2+40s+40)/(s^4+4s^3+8s^2+8s+4)