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

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

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

expand

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

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

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

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

Simplify

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

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

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