What is expand (2x+6)e^{2*x^2+3} ?

The solution to expand (2x+6)e^{2*x^2+3} is 2e^{2x^2+3}x+6e^{2x^2+3}

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expand (2x+6)e^{2*x^2+3}

expand

(2 x + 6) e^{2 \cdot x^{2} + 3}

2 e^{2 x^{2} + 3} x + 6 e^{2 x^{2} + 3}

Solution steps

(2 x + 6) e^{2 x^{2} + 3}

= e^{2 x^{2} + 3} (2 x + 6)

Apply the distributive law:

a (b + c) = ab + a c

a = e^{2 x^{2} + 3}, b = 2 x, c = 6

= e^{2 x^{2} + 3} \cdot 2 x + e^{2 x^{2} + 3} \cdot 6

= 2 e^{2 x^{2} + 3} x + 6 e^{2 x^{2} + 3}

\frac{2 n + 4}{n ( n - 2 ) ( n - 4 )}

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

60 x (x - 1) (\frac{4}{x - 1} - \frac{4}{x} = \frac{1}{60})

ln (x + 1) (x - 1)^{2}

\frac{( x - 3 ) ^{5}}{6}

What is expand (2x+6)e^{2*x^2+3} ?
The solution to expand (2x+6)e^{2*x^2+3} is 2e^{2x^2+3}x+6e^{2x^2+3}