What is simplify-x^2e^{-x}[1+2/2 ] ?

The solution to simplify-x^2e^{-x}[1+2/2 ] is -(2x^2)/(e^x)

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simplify-x^2e^{-x}[1+2/2 ]

simplify

- x^{2} e^{- x} [1 + \frac{2}{2}]

- \frac{2 x ^{2}}{e ^{x}}

Solution steps

- x^{2} e^{- x} [1 + \frac{2}{2}]

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= - [\frac{2}{2} + 1] \frac{1}{e ^{x}} x^{2}

Apply rule

\frac{a}{a} = 1

\frac{2}{2} = 1

= - (1 + 1) \frac{1}{e ^{x}} x^{2}

Add the numbers:

1 + 1 = 2

= - 2 \cdot \frac{1}{e ^{x}} x^{2}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= - \frac{1 \cdot x ^{2} \cdot 2}{e ^{x}}

Multiply the numbers:

1 \cdot 2 = 2

= - \frac{2 x ^{2}}{e ^{x}}

e^{- 1000 \cdot 4}

e^{- rc t}

(\frac{3}{4} z^{3} x^{4}) (\frac{8}{3} x^{2} z)

76 (30 0^{- 0.24}) (40 0^{0.25})

6 \cdot e^{- 1} \cdot (- \frac{2}{16})

What is simplify-x^2e^{-x}[1+2/2 ] ?
The solution to simplify-x^2e^{-x}[1+2/2 ] is -(2x^2)/(e^x)