What is expand (-25x^2-2x-41)/((5x^2+5x+8)^2) ?

The solution to expand (-25x^2-2x-41)/((5x^2+5x+8)^2) is (-25x^2-2x-41)/(25x^4+50x^3+105x^2+80x+64)

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expand (-25x^2-2x-41)/((5x^2+5x+8)^2)

expand

\frac{- 25 x ^{2} - 2 x - 41}{( 5 x ^{2} + 5 x + 8 ) ^{2}}

\frac{- 25 x ^{2} - 2 x - 41}{25 x ^{4} + 50 x ^{3} + 105 x ^{2} + 80 x + 64}

Solution steps

\frac{- 25 x ^{2} - 2 x - 41}{( 5 x ^{2} + 5 x + 8 ) ^{2}}

(5 x^{2} + 5 x + 8)^{2} = 25 x^{4} + 50 x^{3} + 105 x^{2} + 80 x + 64

= \frac{- 25 x ^{2} - 2 x - 41}{25 x ^{4} + 50 x ^{3} + 105 x ^{2} + 80 x + 64}

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

\frac{36 e ^{- 0.02 t}}{( 1 + 3 e ^{- 0.02 t} ) ^{2}}

e^{3 x} \cdot (u_{2} (t) (t^{3} + 1))

(3 x^{2} - 2) e^{x^{3} + 7 x}

\frac{11 a ^{3} - 9 a}{( 3 a - 2 ) ( 3 + 2 a )}

What is expand (-25x^2-2x-41)/((5x^2+5x+8)^2) ?
The solution to expand (-25x^2-2x-41)/((5x^2+5x+8)^2) is (-25x^2-2x-41)/(25x^4+50x^3+105x^2+80x+64)