L{(𝐭 + 𝟐)^ 𝟐 𝐞 ^t}

asked by guest
on Oct 26, 2024 at 1:08 pm



You asked:

Evaluate the expression: \(L \cdot {\left( t + 2 \right)}^{2} \cdot {e}^{t}\)

MathBot Answer:

Evaluated



\(\displaystyle L \cdot {\left( t + 2 \right)}^{2} \cdot {e}^{t} = L \left(t + 2\right)^{2} e^{t} \)

Expanded

\[L \cdot {\left( t + 2 \right)}^{2} \cdot {e}^{t} = t^{2} L e^{t} + 4 L t e^{t} + 4 L e^{t}\]

\(e\) is Euler's number, a mathematical constant that is approximately \(2.71828\).

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