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Popular >

expand (1+2x)e^x

Solution

expand

(1 + 2 x) e^{x}

Solution

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

Solution steps

(1 + 2 x) e^{x}

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

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

Multiply:

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

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

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Frequently Asked Questions (FAQ)

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