What is expand l(e^{3t}sin(6t)-t^3+e^t) ?

The solution to expand l(e^{3t}sin(6t)-t^3+e^t) is le^{3t}sin(6t)-lt^3+le^t

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expand l(e^{3t}sin(6t)-t^3+e^t)

expand

l (e^{3 t} sin (6 t) - t^{3} + e^{t})

l e^{3 t} sin (6 t) - l t^{3} + l e^{t}

Solution steps

l (e^{3 t} sin (6 t) - t^{3} + e^{t})

Distribute parentheses

= l e^{3 t} sin (6 t) + l (- t^{3}) + l e^{t}

Apply minus-plus rules

+ (- a) = - a

= l e^{3 t} sin (6 t) - l t^{3} + l e^{t}

\frac{x - 4}{( x - 2 ) ( x + 5 )}

2 (ln (2) + 2)

- \frac{8 ( - 10 + 12 x )}{7}

\frac{( x + 2 )}{x ( x - 5 ) ^{2}}

4 x (1 + Δ)

What is expand l(e^{3t}sin(6t)-t^3+e^t) ?
The solution to expand l(e^{3t}sin(6t)-t^3+e^t) is le^{3t}sin(6t)-lt^3+le^t