What is expand 2pi(-1/3+pi/4) ?

The solution to expand 2pi(-1/3+pi/4) is -(2pi)/3+(pi^2)/2

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expand 2pi(-1/3+pi/4)

expand

2 π (- \frac{1}{3} + \frac{π}{4})

- \frac{2 π}{3} + \frac{π ^{2}}{2}

Solution steps

2 π (- \frac{1}{3} + \frac{π}{4})

Apply the distributive law:

a (b + c) = ab + a c

a = 2 π, b = - \frac{1}{3}, c = \frac{π}{4}

= 2 π (- \frac{1}{3}) + 2 π \frac{π}{4}

Apply minus-plus rules

+ (- a) = - a

= - 2 π \frac{1}{3} + 2 π \frac{π}{4}

Simplify

- 2 π \frac{1}{3} + 2 π \frac{π}{4} : - \frac{2 π}{3} + \frac{π ^{2}}{2}

= - \frac{2 π}{3} + \frac{π ^{2}}{2}

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What is expand 2pi(-1/3+pi/4) ?
The solution to expand 2pi(-1/3+pi/4) is -(2pi)/3+(pi^2)/2