What is expand e^{4t}(t-cos(t)) ?

The solution to expand e^{4t}(t-cos(t)) is e^{4t}t-e^{4t}cos(t)

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expand e^{4t}(t-cos(t))

expand

e^{4 t} (t - cos (t))

e^{4 t} t - e^{4 t} cos (t)

Solution steps

e^{4 t} (t - cos (t))

Apply the distributive law:

a (b - c) = ab - a c

a = e^{4 t}, b = t, c = cos (t)

= e^{4 t} t - e^{4 t} cos (t)

sin (x) (cos (4 x) + 4 cos^{2} (x) cos (2 x))

(1 + cos (x))^{3}

(e^{- 2 t} - 1)^{2}

(1 + 4 i)^{4}

\frac{1}{( x + i y ) ^{2}}

What is expand e^{4t}(t-cos(t)) ?
The solution to expand e^{4t}(t-cos(t)) is e^{4t}t-e^{4t}cos(t)