What is expand (e^{3x})(e^{3x}+3xe^{3x}) ?

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

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expand (e^{3x})(e^{3x}+3xe^{3x})

expand

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

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

Solution steps

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

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

Apply the distributive law:

a (b + c) = ab + a c

a = (e^{3 x}), b = e^{3 x}, c = 3 x e^{3 x}

= (e^{3 x}) e^{3 x} + (e^{3 x}) \cdot 3 x e^{3 x}

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

Simplify

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

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

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A (2, - 3) B (5, 2)

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

2 (x^{2} + x + 1) (2 x^{'} + 1)

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