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

The solution to expand-2(-2e^{-x^2}x^2+e^{-x^2}) is 4e^{-x^2}x^2-2e^{-x^2}

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

expand

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

4 e^{- x^{2}} x^{2} - 2 e^{- x^{2}}

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

Apply minus-plus rules

- (- a) = a, + (- a) = - a

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

Multiply the numbers:

2 \cdot 2 = 4

= 4 e^{- x^{2}} x^{2} - 2 e^{- x^{2}}

(2 x + 5) (2 x - 5)

(3 - i)^{5}

\frac{2 x + 1}{( x - 4 ) ( x + 2 ) ^{2}}

\frac{x ^{2} + x + 2}{x ^{2} ( x ^{2} + 3 ) ^{2}}

What is expand-2(-2e^{-x^2}x^2+e^{-x^2}) ?
The solution to expand-2(-2e^{-x^2}x^2+e^{-x^2}) is 4e^{-x^2}x^2-2e^{-x^2}