展开 (4x^3+20x^2+32x+13)/(x^2(x^2+6x+13))

解答

展开

\frac{4 x ^{3} + 20 x ^{2} + 32 x + 13}{x ^{2} ( x ^{2} + 6 x + 13 )}

\frac{4 x ^{3} + 20 x ^{2} + 32 x + 13}{x ^{4} + 6 x ^{3} + 13 x ^{2}}

求解步骤

\frac{4 x ^{3} + 20 x ^{2} + 32 x + 13}{x ^{2} ( x ^{2} + 6 x + 13 )}

乘开

x^{2} (x^{2} + 6 x + 13) : x^{4} + 6 x^{3} + 13 x^{2}

= \frac{4 x ^{3} + 20 x ^{2} + 32 x + 13}{x ^{4} + 6 x ^{3} + 13 x ^{2}}

e x p an d \frac{( - \frac{6}{5} x ^{3} y ^{2} )}{( \frac{3}{5} x ^{2} y ^{2} )}

e x p an d e^{t} (H (t) - H (t - 3)) + e^{t - 3} H (t - 3)

e x p an d (1 + \frac{x}{2})^{7}

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

s im pl i f y (3 - t)^{2}