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Popular >

expand 1/3 (2x-e^x)

Solution

expand

\frac{1}{3} (2 x - e^{x})

Solution

\frac{2 x}{3} - \frac{e ^{x}}{3}

Solution steps

\frac{1}{3} (2 x - e^{x})

Apply the distributive law:

a (b - c) = ab - a c

a = \frac{1}{3}, b = 2 x, c = e^{x}

= \frac{1}{3} \cdot 2 x - \frac{1}{3} e^{x}

= 2 \cdot \frac{1}{3} x - \frac{1}{3} e^{x}

Simplify

2 \cdot \frac{1}{3} x - \frac{1}{3} e^{x} : \frac{2 x}{3} - \frac{e ^{x}}{3}

= \frac{2 x}{3} - \frac{e ^{x}}{3}

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Frequently Asked Questions (FAQ)

What is expand 1/3 (2x-e^x) ?
The solution to expand 1/3 (2x-e^x) is (2x)/3-(e^x)/3