What is expand (2(-x^2+2))/((x^2+2)^2) ?

The solution to expand (2(-x^2+2))/((x^2+2)^2) is (-2x^2+4)/(x^4+4x^2+4)

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expand (2(-x^2+2))/((x^2+2)^2)

expand

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

\frac{- 2 x ^{2} + 4}{x ^{4} + 4 x ^{2} + 4}

Solution steps

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

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

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

Expand

2 (- x^{2} + 2) : - 2 x^{2} + 4

= \frac{- 2 x ^{2} + 4}{x ^{4} + 4 x ^{2} + 4}

\frac{1}{( 1 + k cos ( x ) ) ^{2}}

e^{2 t} (2 - t - 2 e^{- t})

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

25 π (2 - \frac{x}{4})^{2}

\frac{- 5}{( 3 - 2 ) ^{2}}

What is expand (2(-x^2+2))/((x^2+2)^2) ?
The solution to expand (2(-x^2+2))/((x^2+2)^2) is (-2x^2+4)/(x^4+4x^2+4)