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

The solution to expand (2(-3x^2+7))/((3x^2+7)^2) is (-6x^2+14)/(9x^4+42x^2+49)

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

expand

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

\frac{- 6 x ^{2} + 14}{9 x ^{4} + 42 x ^{2} + 49}

Solution steps

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

(3 x^{2} + 7)^{2} = 9 x^{4} + 42 x^{2} + 49

= \frac{2 ( - 3 x ^{2} + 7 )}{9 x ^{4} + 42 x ^{2} + 49}

Expand

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

= \frac{- 6 x ^{2} + 14}{9 x ^{4} + 42 x ^{2} + 49}

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

p o in t s (42 x - 6 y^{2} - ln ∣ x + y ∣)

\frac{( 4 x - 1 ) ( 2 x ^{2} + x + 2 )}{12}

s (203 sin (θ), 12 + 123 sin (θ))

(2 e^{- x} - 1) (- 2 e^{- y})

What is expand (2(-3x^2+7))/((3x^2+7)^2) ?
The solution to expand (2(-3x^2+7))/((3x^2+7)^2) is (-6x^2+14)/(9x^4+42x^2+49)