What is expand t(-9cos(u)(at)-4sin(at)) ?

The solution to expand t(-9cos(u)(at)-4sin(at)) is -9at^2cos(u)-4tsin(at)

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expand t(-9cos(u)(at)-4sin(at))

expand

t (- 9 cos (u) (a t) - 4 sin (a t))

- 9 a t^{2} cos (u) - 4 t sin (a t)

Solution steps

t (- 9 cos (u) (a t) - 4 sin (a t))

Apply the distributive law:

a (b - c) = ab - a c

t (- 9 cos (u) (a t) - 4 sin (a t)) = t (- 9 cos (u) a t) - t \cdot 4 sin (a t)

= t (- 9 cos (u) a t) - t \cdot 4 sin (a t)

Simplify

t (- 9 cos (u) a t) - t \cdot 4 sin (a t) : - 9 a t^{2} cos (u) - 4 t sin (a t)

= - 9 a t^{2} cos (u) - 4 t sin (a t)

\frac{1}{4 \cdot π \cdot 0.02} (\frac{1}{0.75} - \frac{1}{0.85}) + \frac{1}{5}

\frac{( 6 x ^{2} - 2 )}{( x ^{2} + 1 ) ^{3}}

x - 3 (x + 3)

\frac{1}{( x + 4 ) ( x ^{3} + 6 x ^{2} + 6 )}

- \frac{3 x ( - 2 x ^{2} + 9 )}{( x ^{2} + 3 ) ^{\frac{7}{2}}}

What is expand t(-9cos(u)(at)-4sin(at)) ?
The solution to expand t(-9cos(u)(at)-4sin(at)) is -9at^2cos(u)-4tsin(at)