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Popular >

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

Solution

expand

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

Solution

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

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

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

Multiply:

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

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

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Frequently Asked Questions (FAQ)

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