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} e^{3 x} x

Simplify

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

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

(x + Δ x)^{2}

3 (3 + x)

\frac{1}{( s - 1 ) ^{4}}

(x + \frac{1}{2}) (x - 0) (x - \frac{1}{2})

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