展开 (n^2(n+3)3)/2

解答

展开

\frac{n ^{2} ( n + 3 ) 3}{2}

\frac{3 n ^{3}}{2} + \frac{9 n ^{2}}{2}

求解步骤

\frac{n ^{2} ( n + 3 ) \cdot 3}{2}

乘开

n^{2} (n + 3) \cdot 3 : 3 n^{3} + 9 n^{2}

= \frac{3 n ^{3} + 9 n ^{2}}{2}

使用分式法则:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{3 n ^{3} + 9 n ^{2}}{2} = \frac{3 n ^{3}}{2} + \frac{9 n ^{2}}{2}

= \frac{3 n ^{3}}{2} + \frac{9 n ^{2}}{2}

e x p an d θ (2, - 4)

\frac{d}{d x} ((z (x, y)) (8 e^{9 x} - 8 ln (y)))

s im pl i f y (5 - \frac{x}{1000}) x

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

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