What is expand e^{2t}(t^3+5t-2) ?

The solution to expand e^{2t}(t^3+5t-2) is e^{2t}t^3+5e^{2t}t-2e^{2t}

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expand e^{2t}(t^3+5t-2)

expand

e^{2 t} (t^{3} + 5 t - 2)

e^{2 t} t^{3} + 5 e^{2 t} t - 2 e^{2 t}

Solution steps

e^{2 t} (t^{3} + 5 t - 2)

Distribute parentheses

= e^{2 t} t^{3} + e^{2 t} \cdot 5 t + e^{2 t} (- 2)

Apply minus-plus rules

+ (- a) = - a

= e^{2 t} t^{3} + 5 e^{2 t} t - 2 e^{2 t}

10 (1 - e^{- 0.5 x})

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

π ((2 n + 1) - \frac{π}{2})

a (e^{2} p q^{2} b^{2} - c)

2 π (k + \frac{k}{5})

What is expand e^{2t}(t^3+5t-2) ?
The solution to expand e^{2t}(t^3+5t-2) is e^{2t}t^3+5e^{2t}t-2e^{2t}