What is expand (-2x^2-16x+4)/((2x^2+x+8)^2) ?

The solution to expand (-2x^2-16x+4)/((2x^2+x+8)^2) is (-2x^2-16x+4)/(4x^4+4x^3+33x^2+16x+64)

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expand (-2x^2-16x+4)/((2x^2+x+8)^2)

expand

\frac{- 2 x ^{2} - 16 x + 4}{( 2 x ^{2} + x + 8 ) ^{2}}

\frac{- 2 x ^{2} - 16 x + 4}{4 x ^{4} + 4 x ^{3} + 33 x ^{2} + 16 x + 64}

Solution steps

\frac{- 2 x ^{2} - 16 x + 4}{( 2 x ^{2} + x + 8 ) ^{2}}

(2 x^{2} + x + 8)^{2} = 4 x^{4} + 4 x^{3} + 33 x^{2} + 16 x + 64

= \frac{- 2 x ^{2} - 16 x + 4}{4 x ^{4} + 4 x ^{3} + 33 x ^{2} + 16 x + 64}

(2 + 3 sin (x)) (2 - 3 sin (x))

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

\frac{( x - 1 ) ( x ^{3} - x ^{2} - 4 x - 4 )}{x - 3}

\frac{2 ( - 8 x y ^{4} + 6 y ^{3} )}{( 1 - 2 x y ) ^{3}}

\frac{2 x ^{3} - x + 5}{2 ( x + 1 ) ( 2 x - 1 )}

What is expand (-2x^2-16x+4)/((2x^2+x+8)^2) ?
The solution to expand (-2x^2-16x+4)/((2x^2+x+8)^2) is (-2x^2-16x+4)/(4x^4+4x^3+33x^2+16x+64)