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

The solution to expand (2(-x^2+7))/((x^2+7)^2) is (-2x^2+14)/(x^4+14x^2+49)

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

expand

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

\frac{- 2 x ^{2} + 14}{x ^{4} + 14 x ^{2} + 49}

Solution steps

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

(x^{2} + 7)^{2} = x^{4} + 14 x^{2} + 49

= \frac{2 ( - x ^{2} + 7 )}{x ^{4} + 14 x ^{2} + 49}

Expand

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

= \frac{- 2 x ^{2} + 14}{x ^{4} + 14 x ^{2} + 49}

(1 + ln (2))^{3}

x^{2} (cos^{2} (y) - sin^{2} (y))

(2 x + 4) (x)

(\frac{3 a}{2} - \frac{2 b}{3})^{2}

\frac{3 ( y + 2 )}{2}

What is expand (2(-x^2+7))/((x^2+7)^2) ?
The solution to expand (2(-x^2+7))/((x^2+7)^2) is (-2x^2+14)/(x^4+14x^2+49)