What is sin(x)((sin^3(x))/3-sin(x)) ?

The solution to sin(x)((sin^3(x))/3-sin(x)) is (sin(x)(-3sin(x)+sin^3(x)))/3

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simplify sin(x)((sin^3(x))/3-sin(x))

simplify

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

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

Solution steps

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

Simplify

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

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

Apply the fraction rule:

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

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

(1 + e^{x}) (1 - e^{x})

25 (1 + cos (θ))

A (4, 1) y B (- 2, - 2)

(t^{2} + 1) y^{'} (t) + t y - 2 t

(\frac{3}{2}, - 3) y (\frac{1}{2}, \frac{( - 3 )}{4})

What is sin(x)((sin^3(x))/3-sin(x)) ?
The solution to sin(x)((sin^3(x))/3-sin(x)) is (sin(x)(-3sin(x)+sin^3(x)))/3