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Popular >

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

Solution

expand

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

Solution

e^{2 x} - 2 e^{2 x} x

Solution steps

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

= 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 (1-2x)e^{2x} ?
The solution to expand (1-2x)e^{2x} is e^{2x}-2e^{2x}x