L{(𝐭 + 𝟐)^ 𝟐 𝐞 ^t}
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 \(2.71828\).