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

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

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expand (2(-x^2+4))/((x^2+4)^2)

expand

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

\frac{- 2 x ^{2} + 8}{x ^{4} + 8 x ^{2} + 16}

Solution steps

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

(x^{2} + 4)^{2} = x^{4} + 8 x^{2} + 16

= \frac{2 ( - x ^{2} + 4 )}{x ^{4} + 8 x ^{2} + 16}

Expand

2 (- x^{2} + 4) : - 2 x^{2} + 8

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

(e^{2 x} + e^{- 2 x})^{2}

\frac{( s + 1 ) ( s + 2 )}{s ^{4}}

(x + h)^{2} - 3

((m - 1) + 1)^{n}

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

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