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

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

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

expand

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

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

Solution steps

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

Remove parentheses:

(a) = a

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

Apply the distributive law:

a (b - c) = ab - a c

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

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

(1 + x)^{2}

- \frac{100}{( x + 1 ) ^{2}}

- 2 (3 - 1)

\frac{4 - 3 s}{( s ^{2} + 9 ) \cdot 2}

x^{2} (\frac{16}{x} - \frac{x}{4})

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