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

Apply minus-plus rules

+ (- 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}}

\frac{- 8 s - 160}{13 ( s ^{2} + 4 s + 5 )}

1 + \frac{\frac{1}{c}}{x + y}

\frac{( 2 k - 3 ) ( 2 k - 2 ) !}{( k - 2 ) ( k - 1 ) !}

(x 2 + 1)^{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}