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

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

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

simplify

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

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

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply the numbers:

1 \cdot 2 = 2

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

3 e^{2 x} \cdot 2 e^{2 x}

4.22 \cdot 1 0^{- 4}

4.22 \cdot 1 0^{- 2}

e^{- 0.08 \cdot \frac{1}{6}}

(\frac{1}{3})^{- 4^{^{'}}}

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