e ^ (3t) * ((2t + 5) ^ 2)
You asked:
Evaluate the expression: \({e}^{3 t} \cdot {\left( 2 t + 5 \right)}^{2}\)
MathBot Answer:
Evaluated
\(\displaystyle {e}^{3 t} \cdot {\left( 2 t + 5 \right)}^{2} = \left(2 t + 5\right)^{2} e^{3 t} \)
Expanded
\[{e}^{3 t} \cdot {\left( 2 t + 5 \right)}^{2} = 4 t^{2} e^{3 t} + 20 t e^{3 t} + 25 e^{3 t}\]
\(e\) is Euler's number, a mathematical constant that is approximately \(2.71828\).