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Popular >

expand (1-x)*e^x

Solution

expand

(1 - x) \cdot e^{x}

Solution

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

Solution steps

(1 - x) e^{x}

= e^{x} (1 - x)

Apply the distributive law:

a (b - c) = ab - a c

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

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

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

Multiply:

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

= e^{x} - e^{x} x

Popular Examples

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Frequently Asked Questions (FAQ)

What is expand (1-x)*e^x ?
The solution to expand (1-x)*e^x is e^x-e^xx