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

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

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

expand

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

- 2 e^{- x^{2}} x^{2} + 2 e^{- x^{2}} x

Solution steps

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

Apply the distributive law:

a (b - c) = ab - a c

a = (- 2 e^{- x^{2}} x), b = x, c = 1

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

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

Simplify

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

= - 2 e^{- x^{2}} x^{2} + 2 e^{- x^{2}} x

\frac{( 2 inπ + 2 ) e ^{- inπ}}{n ^{2}}

3 (1 - \frac{1}{e})

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

- 3 (4 - r = 9)

\frac{a s}{( s ^{2} + a ^{4} ) ^{2}}

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