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 \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}}

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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}