展开 (x(n+1)(n^2+3))/(n(n^2+2n+4))

解答

展开

\frac{x ( n + 1 ) ( n ^{2} + 3 )}{n ( n ^{2} + 2 n + 4 )}

\frac{n ^{3} x + 3 n x + n ^{2} x + 3 x}{n ^{3} + 2 n ^{2} + 4 n}

求解步骤

\frac{x ( n + 1 ) ( n ^{2} + 3 )}{n ( n ^{2} + 2 n + 4 )}

乘开

n (n^{2} + 2 n + 4) : n^{3} + 2 n^{2} + 4 n

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

乘开

x (n + 1) (n^{2} + 3) : n^{3} x + 3 n x + n^{2} x + 3 x

= \frac{n ^{3} x + 3 n x + n ^{2} x + 3 x}{n ^{3} + 2 n ^{2} + 4 n}

e x p an d \frac{1}{3} (11 ln (11) - 11) + C

e x p an d (e + 4)^{2}

e x p an d \frac{s + 1}{s ( s + 5 )}

e x p an d \frac{3 x ^{2} - ( 4 x + 1 ) x + 2}{x - 1}

e x p an d \frac{5 ( 3 - 3 )}{3}