展开 (x+5)/((x^2+1)^2(x-3))

解答

展开

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

\frac{x + 5}{x ^{5} - 3 x ^{4} + 2 x ^{3} - 6 x ^{2} + x - 3}

求解步骤

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

(x^{2} + 1)^{2} = x^{4} + 2 x^{2} + 1

= \frac{x + 5}{( x ^{4} + 2 x ^{2} + 1 ) ( x - 3 )}

乘开

(x^{4} + 2 x^{2} + 1) (x - 3) : x^{5} - 3 x^{4} + 2 x^{3} - 6 x^{2} + x - 3

= \frac{x + 5}{x ^{5} - 3 x ^{4} + 2 x ^{3} - 6 x ^{2} + x - 3}

e x p an d e^{{- y}}

e x p an d \frac{1}{( 1 + x ^{2} ) arctan ( x )}

e x p an d, 0.5 (110 - 2 p) (\frac{110 - 2 p}{2})

\frac{d}{d t} ((x) (3 t - 5))

e x p an d (1 + e^{- u})^{2}