What is expand (2(-3x^2+7))/((x^2+7)^3) ?

The solution to expand (2(-3x^2+7))/((x^2+7)^3) is (-6x^2+14)/(x^6+21x^4+147x^2+343)

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expand (2(-3x^2+7))/((x^2+7)^3)

expand

\frac{2 ( - 3 x ^{2} + 7 )}{( x ^{2} + 7 ) ^{3}}

\frac{- 6 x ^{2} + 14}{x ^{6} + 21 x ^{4} + 147 x ^{2} + 343}

Solution steps

\frac{2 ( - 3 x ^{2} + 7 )}{( x ^{2} + 7 ) ^{3}}

(x^{2} + 7)^{3} = x^{6} + 21 x^{4} + 147 x^{2} + 343

= \frac{2 ( - 3 x ^{2} + 7 )}{x ^{6} + 21 x ^{4} + 147 x ^{2} + 343}

Expand

2 (- 3 x^{2} + 7) : - 6 x^{2} + 14

= \frac{- 6 x ^{2} + 14}{x ^{6} + 21 x ^{4} + 147 x ^{2} + 343}

\frac{3}{( 4 + n ) ( 5 + n )}

\frac{( 2 x - 3 ) ( x + 3 )}{2}

\frac{s ^{4} + 26 s ^{2} + 64}{s ( s ^{2} + 4 ) ( s ^{2} + 16 )}

(y^{3})^{2}

\frac{lo g _{10} ( ( x + 1 ) ( x + 4 ) )}{( 2 x + 23 )} - 1

What is expand (2(-3x^2+7))/((x^2+7)^3) ?
The solution to expand (2(-3x^2+7))/((x^2+7)^3) is (-6x^2+14)/(x^6+21x^4+147x^2+343)