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Popular >

expand (1-4/x)e^x

Solution

expand

(1 - \frac{4}{x}) e^{x}

Solution

e^{x} - \frac{4 e ^{x}}{x}

Solution steps

(1 - \frac{4}{x}) e^{x}

= e^{x} (1 - \frac{4}{x})

Apply the distributive law:

a (b - c) = ab - a c

a = e^{x}, b = 1, c = \frac{4}{x}

= e^{x} \cdot 1 - e^{x} \frac{4}{x}

= 1 \cdot e^{x} - e^{x} \frac{4}{x}

Simplify

1 \cdot e^{x} - e^{x} \frac{4}{x} : e^{x} - \frac{4 e ^{x}}{x}

= e^{x} - \frac{4 e ^{x}}{x}

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Frequently Asked Questions (FAQ)

What is expand (1-4/x)e^x ?
The solution to expand (1-4/x)e^x is e^x-(4e^x)/x