What is expand (3s^3+4s^2+36s+16)/((s^2+4)(s^2-4)) ?

The solution to expand (3s^3+4s^2+36s+16)/((s^2+4)(s^2-4)) is (3s^3+4s^2+36s+16)/(s^4-16)

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expand (3s^3+4s^2+36s+16)/((s^2+4)(s^2-4))

expand

\frac{3 s ^{3} + 4 s ^{2} + 36 s + 16}{( s ^{2} + 4 ) ( s ^{2} - 4 )}

\frac{3 s ^{3} + 4 s ^{2} + 36 s + 16}{s ^{4} - 16}

Solution steps

\frac{3 s ^{3} + 4 s ^{2} + 36 s + 16}{( s ^{2} + 4 ) ( s ^{2} - 4 )}

Expand

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

= \frac{3 s ^{3} + 4 s ^{2} + 36 s + 16}{s ^{4} - 16}

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

\frac{6 ( y - 3 )}{43}

\frac{x}{( z - 1 ) ( z - 3 )}

(y^{2} + x y^{3}) d x + (5 y^{2} - x y + y^{3} sin (y) d y)

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

What is expand (3s^3+4s^2+36s+16)/((s^2+4)(s^2-4)) ?
The solution to expand (3s^3+4s^2+36s+16)/((s^2+4)(s^2-4)) is (3s^3+4s^2+36s+16)/(s^4-16)