What is expand (s^2+5s)/((s-1)(s+1)^2) ?

The solution to expand (s^2+5s)/((s-1)(s+1)^2) is (s^2+5s)/(s^3+s^2-s-1)

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expand (s^2+5s)/((s-1)(s+1)^2)

expand

\frac{s ^{2} + 5 s}{( s - 1 ) ( s + 1 ) ^{2}}

\frac{s ^{2} + 5 s}{s ^{3} + s ^{2} - s - 1}

Solution steps

\frac{s ^{2} + 5 s}{( s - 1 ) ( s + 1 ) ^{2}}

(s + 1)^{2} = s^{2} + 2 s + 1

= \frac{s ^{2} + 5 s}{( s - 1 ) ( s ^{2} + 2 s + 1 )}

Expand

(s - 1) (s^{2} + 2 s + 1) : s^{3} + s^{2} - s - 1

= \frac{s ^{2} + 5 s}{s ^{3} + s ^{2} - s - 1}

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

(1 + csc (x)) (1 - sin (x))

∣ L T ∣ L (- 4, - 1) M (- 2, 4) T (4, 4) P (2, - 1)

(2 - 1 + x)^{2}

A (6, 0) y B (0, - 2)

What is expand (s^2+5s)/((s-1)(s+1)^2) ?
The solution to expand (s^2+5s)/((s-1)(s+1)^2) is (s^2+5s)/(s^3+s^2-s-1)