What is simplify-2xe^{-x^2}(1-2x^2) ?

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

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simplify-2xe^{-x^2}(1-2x^2)

simplify

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

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

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply the numbers:

1 \cdot 2 = 2

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

1.83 \cdot 1 0^{- 6}

6 \cdot e^{- 5}

6 \cdot e^{- 6}

(2 t) (4 t (t^{2} + 1))

(e^{x})^{e^{x}}

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