$(x-1)^{2}$ * $e^{-x}$

asked by guest
on Nov 19, 2024 at 5:19 pm



You asked:

Evaluate the expression: \({\left( x - 1 \right)}^{2} \cdot {e}^{-x}\)

MathBot Answer:

Evaluated



\(\displaystyle {\left( x - 1 \right)}^{2} \cdot {e}^{-x} = \left(x - 1\right)^{2} e^{- x} \)

Expanded

\[{\left( x - 1 \right)}^{2} \cdot {e}^{-x} = x^{2} e^{- x} - 2 x e^{- x} + e^{- x}\]

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

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