展开 (-x^2+2x+8)/((x^2+3x+5)^2)

解答

展开

\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}

求解步骤

\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}

e x p an d \frac{- 3 + 2 s}{s ^{2} ( s ^{2} - 9 )}

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