What is expand 4pi((125-21sqrt(21))/3-2sqrt(21)) ?

The solution to expand 4pi((125-21sqrt(21))/3-2sqrt(21)) is (500pi)/3-36sqrt(21)pi

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expand 4pi((125-21sqrt(21))/3-2sqrt(21))

expand

4 π (\frac{125 - 21 21}{3} - 221)

\frac{500 π}{3} - 3621 π

Solution steps

4 π (\frac{125 - 21 21}{3} - 221)

Apply the distributive law:

a (b - c) = ab - a c

a = 4 π, b = \frac{125 - 21 21}{3}, c = 221

= 4 π \frac{125 - 21 21}{3} - 4 π 221

= 4 π \frac{125 - 21 21}{3} - 4 \cdot 221 π

Simplify

4 π \frac{125 - 21 21}{3} - 4 \cdot 221 π : \frac{500 π}{3} - 3621 π

= \frac{500 π}{3} - 3621 π

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What is expand 4pi((125-21sqrt(21))/3-2sqrt(21)) ?
The solution to expand 4pi((125-21sqrt(21))/3-2sqrt(21)) is (500pi)/3-36sqrt(21)pi