What is expand (-x^2+2x+8)/((x^2+3x+5)^2) ?

The solution to expand (-x^2+2x+8)/((x^2+3x+5)^2) is (-x^2+2x+8)/(x^4+6x^3+19x^2+30x+25)

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expand (-x^2+2x+8)/((x^2+3x+5)^2)

expand

\frac{- x ^{2} + 2 x + 8}{( x ^{2} + 3 x + 5 ) ^{2}}

\frac{- x ^{2} + 2 x + 8}{x ^{4} + 6 x ^{3} + 19 x ^{2} + 30 x + 25}

Solution steps

\frac{- x ^{2} + 2 x + 8}{( x ^{2} + 3 x + 5 ) ^{2}}

(x^{2} + 3 x + 5)^{2} = x^{4} + 6 x^{3} + 19 x^{2} + 30 x + 25

= \frac{- x ^{2} + 2 x + 8}{x ^{4} + 6 x ^{3} + 19 x ^{2} + 30 x + 25}

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

(x^{2} - \frac{2}{x})^{10}

- π sin (π t) cos (π t) + e^{t} (3 e^{t} + 7)

(x - 4) (6 - 7) (6 + 7)

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

What is expand (-x^2+2x+8)/((x^2+3x+5)^2) ?
The solution to expand (-x^2+2x+8)/((x^2+3x+5)^2) is (-x^2+2x+8)/(x^4+6x^3+19x^2+30x+25)