What is expand 5(2xe^{3x}+e^{3x}*3x^2) ?

The solution to expand 5(2xe^{3x}+e^{3x}*3x^2) is 10e^{3x}x+15e^{3x}x^2

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expand 5(2xe^{3x}+e^{3x}*3x^2)

expand

5 (2 x e^{3 x} + e^{3 x} \cdot 3 x^{2})

10 e^{3 x} x + 15 e^{3 x} x^{2}

Solution steps

5 (2 x e^{3 x} + e^{3 x} \cdot 3 x^{2})

= 5 (2 e^{3 x} x + 3 e^{3 x} x^{2})

Apply the distributive law:

a (b + c) = ab + a c

a = 5, b = 2 x e^{3 x}, c = e^{3 x} \cdot 3 x^{2}

= 5 \cdot 2 x e^{3 x} + 5 e^{3 x} \cdot 3 x^{2}

= 5 \cdot 2 e^{3 x} x + 5 \cdot 3 e^{3 x} x^{2}

Simplify

5 \cdot 2 e^{3 x} x + 5 \cdot 3 e^{3 x} x^{2} : 10 e^{3 x} x + 15 e^{3 x} x^{2}

= 10 e^{3 x} x + 15 e^{3 x} x^{2}

(- 3 - - i)^{12}

\frac{\partial}{\partial x} ((x^{2} + x y - 1) y) - x

\frac{π}{64} \cdot (0.10 4^{4} - (\frac{0.104}{1 , 5})^{4})

\frac{x ^{2} + 5 x - 9}{( x - 1 ) ( 2 x - 3 )}

What is expand 5(2xe^{3x}+e^{3x}*3x^2) ?
The solution to expand 5(2xe^{3x}+e^{3x}*3x^2) is 10e^{3x}x+15e^{3x}x^2