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Popular >

expand e^{3x}(1+3x)

Solution

expand

e^{3 x} (1 + 3 x)

Solution

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

Solution steps

e^{3 x} (1 + 3 x)

Apply the distributive law:

a (b + c) = ab + a c

a = e^{3 x}, b = 1, c = 3 x

= e^{3 x} \cdot 1 + e^{3 x} \cdot 3 x

= 1 \cdot e^{3 x} + 3 e^{3 x} x

Multiply:

1 \cdot e^{3 x} = e^{3 x}

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

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Frequently Asked Questions (FAQ)

What is expand e^{3x}(1+3x) ?
The solution to expand e^{3x}(1+3x) is e^{3x}+3e^{3x}x