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Popular >

expand 2/3 (x+pi/2)

Solution

expand

\frac{2}{3} (x + \frac{π}{2})

Solution

\frac{2 x}{3} + \frac{π}{3}

Solution steps

\frac{2}{3} (x + \frac{π}{2})

Apply the distributive law:

a (b + c) = ab + a c

a = \frac{2}{3}, b = x, c = \frac{π}{2}

= \frac{2}{3} x + \frac{2}{3} \cdot \frac{π}{2}

Simplify

\frac{2}{3} x + \frac{2}{3} \cdot \frac{π}{2} : \frac{2 x}{3} + \frac{π}{3}

= \frac{2 x}{3} + \frac{π}{3}

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Frequently Asked Questions (FAQ)

What is expand 2/3 (x+pi/2) ?
The solution to expand 2/3 (x+pi/2) is (2x)/3+pi/3