What is expand x(-3x^2sin(x)-6xcos(x)) ?

The solution to expand x(-3x^2sin(x)-6xcos(x)) is -3x^3sin(x)-6x^2cos(x)

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expand x(-3x^2sin(x)-6xcos(x))

expand

x (- 3 x^{2} sin (x) - 6 x cos (x))

- 3 x^{3} sin (x) - 6 x^{2} cos (x)

Solution steps

x (- 3 x^{2} sin (x) - 6 x cos (x))

Apply the distributive law:

a (b - c) = ab - a c

x (- 3 x^{2} sin (x) - 6 x cos (x)) = x (- 3 x^{2} sin (x)) - x \cdot 6 x cos (x)

= x (- 3 x^{2} sin (x)) - x \cdot 6 x cos (x)

Simplify

x (- 3 x^{2} sin (x)) - x \cdot 6 x cos (x) : - 3 x^{3} sin (x) - 6 x^{2} cos (x)

= - 3 x^{3} sin (x) - 6 x^{2} cos (x)

2 z sin (x) - 2 z x (1 + cos (x y))

\frac{s ^{2} + 6 s + 19}{( s + 7 ) ( s + 20 )}

\frac{x ^{2}}{2} - 2 x + (3 + 2 x) ln (x) + c

\frac{d}{d t} ((x) (sin (t) - t cos (t)))

(p + \frac{4.3}{v ^{2}}) (v - 8.9)

What is expand x(-3x^2sin(x)-6xcos(x)) ?
The solution to expand x(-3x^2sin(x)-6xcos(x)) is -3x^3sin(x)-6x^2cos(x)