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

The solution to expand 2pi((4pi)/3-1) is (8pi^2)/3-2pi

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

expand

2 π (\frac{4 π}{3} - 1)

\frac{8 π ^{2}}{3} - 2 π

Solution steps

2 π (\frac{4 π}{3} - 1)

Apply the distributive law:

a (b - c) = ab - a c

a = 2 π, b = \frac{4 π}{3}, c = 1

= 2 π \frac{4 π}{3} - 2 π 1

= 2 π \frac{4 π}{3} - 2 \cdot 1 π

Simplify

2 π \frac{4 π}{3} - 2 \cdot 1 π : \frac{8 π ^{2}}{3} - 2 π

= \frac{8 π ^{2}}{3} - 2 π

(n + 1)! (n + 2)

(2 n - 1) (2 n + 1) π

sin ((2 m + 1) x)

\frac{1}{( 7 x ^{2} + 6 x + 1 ) ( s - 3 ) ( s - 1 )}

(2 x + 2 h + 1)^{5}

What is expand 2pi((4pi)/3-1) ?
The solution to expand 2pi((4pi)/3-1) is (8pi^2)/3-2pi