What is simplify-(-s^2-4)/((s^2-4)^2)-s/(s^2-4) ?

The solution to simplify-(-s^2-4)/((s^2-4)^2)-s/(s^2-4) is (s^2+4-s^3+4s)/((s+2)^2(s-2)^2)

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simplify-(-s^2-4)/((s^2-4)^2)-s/(s^2-4)

simplify

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

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

Solution steps

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

Least Common Multiplier of

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

Adjust Fractions based on the LCM

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

Apply the fraction rule:

\frac{a}{c} - \frac{b}{c} = \frac{a - b}{c}

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

Simplify

- (- s^{2} - 4) - s (s + 2) (s - 2) : s^{2} + 4 - s^{3} + 4 s

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

9 x^{2} - 36 x

(x + 16)^{2}

x^{3} - 4 x^{2} - 17 x + 60

3 x - 6 y

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