What is expand (tcos(t))*(cos(t)-tsin(t)) ?

The solution to expand (tcos(t))*(cos(t)-tsin(t)) is tcos^2(t)-t^2cos(t)sin(t)

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expand (tcos(t))*(cos(t)-tsin(t))

expand

(t cos (t)) \cdot (cos (t) - t sin (t))

t cos^{2} (t) - t^{2} cos (t) sin (t)

Solution steps

(t cos (t)) (cos (t) - t sin (t))

Apply the distributive law:

a (b - c) = ab - a c

(t cos (t)) (cos (t) - t sin (t)) = t cos (t) cos (t) - t cos (t) t sin (t)

= t cos (t) cos (t) - t cos (t) t sin (t)

Simplify

t cos (t) cos (t) - t cos (t) t sin (t) : t cos^{2} (t) - t^{2} cos (t) sin (t)

= t cos^{2} (t) - t^{2} cos (t) sin (t)

(x - y = 3,) (x + 2 y = 6)

\frac{2 ( 3 x - 1 ) ( - 3 x ^{2} + 2 x + 9 )}{( x ^{2} + 3 ) ^{3}}

(x^{2} + 2 x)^{15}

e^{x} (x - 1) (x + 3)

\frac{( ( s + 1 ) e ^{(- 0.5 s)} )}{( s ( s + 2 ) ( s + 3 ) )}

What is expand (tcos(t))*(cos(t)-tsin(t)) ?
The solution to expand (tcos(t))*(cos(t)-tsin(t)) is tcos^2(t)-t^2cos(t)sin(t)