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

The solution to expand Lt(e^t+e^{2t})^2 is Le^{2t}t+2Le^{3t}t+Le^{4t}t

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

expand

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

L e^{2 t} t + 2 L e^{3 t} t + L e^{4 t} t

Solution steps

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

(e^{t} + e^{2 t})^{2} = e^{2 t} + 2 e^{3 t} + e^{4 t}

= L t (e^{2 t} + 2 e^{3 t} + e^{4 t})

Distribute parentheses

= L t e^{2 t} + L t \cdot 2 e^{3 t} + L t e^{4 t}

= L e^{2 t} t + 2 L e^{3 t} t + L e^{4 t} t

(5 - 6 i) i (- 19 + 2 k \cdot π)

(5 x - 5)^{2}

9 x 3 + 54 x 2 + 36 x - 8

\frac{e ^{i (k + 1) θ} - 1}{e ^{i θ} - 1}

(3 - 3 i)^{7}

What is expand Lt(e^t+e^{2t})^2 ?
The solution to expand Lt(e^t+e^{2t})^2 is Le^{2t}t+2Le^{3t}t+Le^{4t}t