化简 (sin(x)-(sin^3(x))/3)sin(x)

解答

化简

(sin (x) - \frac{sin ^{3} ( x )}{3}) sin (x)

\frac{( 3 sin ( x ) - sin ^{3} ( x ) ) sin ( x )}{3}

求解步骤

(sin (x) - \frac{sin ^{3} ( x )}{3}) sin (x)

化简

sin (x) - \frac{sin ^{3} ( x )}{3} : \frac{3 sin ( x ) - sin ^{3} ( x )}{3}

= \frac{3 sin ( x ) - sin ^{3} ( x )}{3} sin (x)

使用分式法则:

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

= \frac{( 3 sin ( x ) - sin ^{3} ( x ) ) sin ( x )}{3}

s im pl i f y \frac{2.5 w ^{2} + 2 w - 0.5}{( w - 1 ) ^{2}} - 1

e x p an d a (2 t u + u + t^{2}) d e (- t^{2} - 4 t u)

e x p an d a^{(x - 2) \cdot 2}

e x p an d - \frac{2 ( 2 x + 3 ) ( - x ^{2} - 3 x - 39 )}{( x ^{2} + 3 x - 10 ) ^{3}}

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