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

The solution to expand t(e^t+e^{5t})^2 is e^{2t}t+2e^{6t}t+e^{10t}t

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

expand

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

e^{2 t} t + 2 e^{6 t} t + e^{10 t} t

Solution steps

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

(e^{t} + e^{5 t})^{2} = e^{2 t} + 2 e^{6 t} + e^{10 t}

= t (e^{2 t} + 2 e^{6 t} + e^{10 t})

Distribute parentheses

= t e^{2 t} + t \cdot 2 e^{6 t} + t e^{10 t}

= e^{2 t} t + 2 e^{6 t} t + e^{10 t} t

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What is expand t(e^t+e^{5t})^2 ?
The solution to expand t(e^t+e^{5t})^2 is e^{2t}t+2e^{6t}t+e^{10t}t