What is expand (t^4+2)e^{2t} ?

The solution to expand (t^4+2)e^{2t} is e^{2t}t^4+2e^{2t}

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expand (t^4+2)e^{2t}

expand

(t^{4} + 2) e^{2 t}

e^{2 t} t^{4} + 2 e^{2 t}

Solution steps

(t^{4} + 2) e^{2 t}

= e^{2 t} (t^{4} + 2)

Apply the distributive law:

a (b + c) = ab + a c

a = e^{2 t}, b = t^{4}, c = 2

= e^{2 t} t^{4} + e^{2 t} \cdot 2

= e^{2 t} t^{4} + 2 e^{2 t}

2 π (7 x^{4} - 28 x^{3} + 28 x^{2})

\frac{v ( v - 1 )}{2} - e

(e^{x} cos (x) - sin (x) e^{x}) (13 e^{x})

cos (5 (t - \frac{π}{6})) U (t - \frac{π}{6})

\frac{11}{10} 3 - 73

What is expand (t^4+2)e^{2t} ?
The solution to expand (t^4+2)e^{2t} is e^{2t}t^4+2e^{2t}