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

The solution to expand (s^2+4-s^3+4s)/((s+2)^2(s-2)^2) is (s^2+4-s^3+4s)/(s^4-8s^2+16)

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

expand

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

\frac{s ^{2} + 4 - s ^{3} + 4 s}{s ^{4} - 8 s ^{2} + 16}

Solution steps

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

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

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

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

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

Expand

(s^{2} + 4 s + 4) (s^{2} - 4 s + 4) : s^{4} - 8 s^{2} + 16

= \frac{s ^{2} + 4 - s ^{3} + 4 s}{s ^{4} - 8 s ^{2} + 16}

(4 x - 1 - 5) (4 x - 1 + 5)

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

sin (θ) (sec (θ) - csc (θ))

e^{x} (sin (x) + cos (x))

(\frac{7 x}{3} - \frac{y}{5}) (\frac{7 x}{3} + \frac{y}{5})

What is expand (s^2+4-s^3+4s)/((s+2)^2(s-2)^2) ?
The solution to expand (s^2+4-s^3+4s)/((s+2)^2(s-2)^2) is (s^2+4-s^3+4s)/(s^4-8s^2+16)