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Popular >

expand (1+3x)e^{2x}

Solution

expand

(1 + 3 x) e^{2 x}

Solution

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

Solution steps

(1 + 3 x) e^{2 x}

= e^{2 x} (1 + 3 x)

Apply the distributive law:

a (b + c) = ab + a c

a = e^{2 x}, b = 1, c = 3 x

= e^{2 x} \cdot 1 + e^{2 x} \cdot 3 x

= 1 \cdot e^{2 x} + 3 e^{2 x} x

Multiply:

1 \cdot e^{2 x} = e^{2 x}

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

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Frequently Asked Questions (FAQ)

What is expand (1+3x)e^{2x} ?
The solution to expand (1+3x)e^{2x} is e^{2x}+3e^{2x}x