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Popular >

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

Solution

expand

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

Solution

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

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

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

Multiply:

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

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

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Frequently Asked Questions (FAQ)

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