What is expand-(16(8-3x^2))/((x^2+8)^3) ?

The solution to expand-(16(8-3x^2))/((x^2+8)^3) is -(128-48x^2)/(x^6+24x^4+192x^2+512)

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expand-(16(8-3x^2))/((x^2+8)^3)

expand

- \frac{16 ( 8 - 3 x ^{2} )}{( x ^{2} + 8 ) ^{3}}

- \frac{128 - 48 x ^{2}}{x ^{6} + 24 x ^{4} + 192 x ^{2} + 512}

Solution steps

- \frac{16 ( 8 - 3 x ^{2} )}{( x ^{2} + 8 ) ^{3}}

(x^{2} + 8)^{3} = x^{6} + 24 x^{4} + 192 x^{2} + 512

= - \frac{16 ( - 3 x ^{2} + 8 )}{x ^{6} + 24 x ^{4} + 192 x ^{2} + 512}

Expand

16 (8 - 3 x^{2}) : 128 - 48 x^{2}

= - \frac{- 48 x ^{2} + 128}{x ^{6} + 24 x ^{4} + 192 x ^{2} + 512}

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What is expand-(16(8-3x^2))/((x^2+8)^3) ?
The solution to expand-(16(8-3x^2))/((x^2+8)^3) is -(128-48x^2)/(x^6+24x^4+192x^2+512)