What is expand 6(2e^{x^2}x^2+e^{x^2}) ?

The solution to expand 6(2e^{x^2}x^2+e^{x^2}) is 12e^{x^2}x^2+6e^{x^2}

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expand 6(2e^{x^2}x^2+e^{x^2})

expand

6 (2 e^{x^{2}} x^{2} + e^{x^{2}})

12 e^{x^{2}} x^{2} + 6 e^{x^{2}}

Solution steps

6 (2 e^{x^{2}} x^{2} + e^{x^{2}})

Apply the distributive law:

a (b + c) = ab + a c

a = 6, b = 2 e^{x^{2}} x^{2}, c = e^{x^{2}}

= 6 \cdot 2 e^{x^{2}} x^{2} + 6 e^{x^{2}}

Multiply the numbers:

6 \cdot 2 = 12

= 12 e^{x^{2}} x^{2} + 6 e^{x^{2}}

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What is expand 6(2e^{x^2}x^2+e^{x^2}) ?
The solution to expand 6(2e^{x^2}x^2+e^{x^2}) is 12e^{x^2}x^2+6e^{x^2}