What is expand (-2x^2-4x+9)/((2x^2-5x+4)^2) ?

The solution to expand (-2x^2-4x+9)/((2x^2-5x+4)^2) is (-2x^2-4x+9)/(4x^4-20x^3+41x^2-40x+16)

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expand (-2x^2-4x+9)/((2x^2-5x+4)^2)

expand

\frac{- 2 x ^{2} - 4 x + 9}{( 2 x ^{2} - 5 x + 4 ) ^{2}}

\frac{- 2 x ^{2} - 4 x + 9}{4 x ^{4} - 20 x ^{3} + 41 x ^{2} - 40 x + 16}

Solution steps

\frac{- 2 x ^{2} - 4 x + 9}{( 2 x ^{2} - 5 x + 4 ) ^{2}}

(2 x^{2} - 5 x + 4)^{2} = 4 x^{4} - 20 x^{3} + 41 x^{2} - 40 x + 16

= \frac{- 2 x ^{2} - 4 x + 9}{4 x ^{4} - 20 x ^{3} + 41 x ^{2} - 40 x + 16}

\frac{1}{x + 10} + \frac{1}{x + 5} + \frac{1}{x + 1} - \frac{1}{x + 2}

e^{2 (x + 1)}

\frac{10}{( s + 1 ) ( s + 2 ) ( s + 5 )}

y (y - (- 7) = - 8 (x - 6))

d x ((2 x^{3} - 5) (2 x - 4))

What is expand (-2x^2-4x+9)/((2x^2-5x+4)^2) ?
The solution to expand (-2x^2-4x+9)/((2x^2-5x+4)^2) is (-2x^2-4x+9)/(4x^4-20x^3+41x^2-40x+16)