What is expand (8x^4+42x^2-40x)/((4x^2+7)^2) ?

The solution to expand (8x^4+42x^2-40x)/((4x^2+7)^2) is (8x^4+42x^2-40x)/(16x^4+56x^2+49)

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expand (8x^4+42x^2-40x)/((4x^2+7)^2)

expand

\frac{8 x ^{4} + 42 x ^{2} - 40 x}{( 4 x ^{2} + 7 ) ^{2}}

\frac{8 x ^{4} + 42 x ^{2} - 40 x}{16 x ^{4} + 56 x ^{2} + 49}

Solution steps

\frac{8 x ^{4} + 42 x ^{2} - 40 x}{( 4 x ^{2} + 7 ) ^{2}}

(4 x^{2} + 7)^{2} = 16 x^{4} + 56 x^{2} + 49

= \frac{8 x ^{4} + 42 x ^{2} - 40 x}{16 x ^{4} + 56 x ^{2} + 49}

e^{t} (t^{2} - 2 t - 1)

e^{- \frac{2 x}{y}} - y^{3} \cdot (x^{2} - x y - y^{2})

3 (2 x y \frac{d y}{d x} + y^{2})

\frac{( 3 x ^{2} - 3 s + 9 )}{( x ( x ^{2} + 9 ) )}

lo g_{2} (8) x^{2} y

What is expand (8x^4+42x^2-40x)/((4x^2+7)^2) ?
The solution to expand (8x^4+42x^2-40x)/((4x^2+7)^2) is (8x^4+42x^2-40x)/(16x^4+56x^2+49)