What is expand sqrt(2)((8pi^3)/3+2x) ?

The solution to expand sqrt(2)((8pi^3)/3+2x) is (8sqrt(2)pi^3)/3+2sqrt(2)x

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expand sqrt(2)((8pi^3)/3+2x)

expand

2 (\frac{8 π ^{3}}{3} + 2 x)

\frac{8 2 π ^{3}}{3} + 22 x

Solution steps

2 (\frac{8 π ^{3}}{3} + 2 x)

Apply the distributive law:

a (b + c) = ab + a c

a = 2, b = \frac{8 π ^{3}}{3}, c = 2 x

= 2 \frac{8 π ^{3}}{3} + 2 \cdot 2 x

= 2 \frac{8 π ^{3}}{3} + 22 x

Multiply

2 \frac{8 π ^{3}}{3} : \frac{8 2 π ^{3}}{3}

= \frac{8 2 π ^{3}}{3} + 22 x

\frac{2 y ( y ^{2} - 2 )}{x ( 2 x ^{2} - 5 )}

(x + h)^{2} - 1

\frac{d x}{y x} (x^{2} + y^{2} = 1)

sin (2 (t - π))

\frac{\frac{d}{d x} ( ( 2 x + 7 ) ( x ^{2} + 3 ) )}{( 3 x + 5 )}

What is expand sqrt(2)((8pi^3)/3+2x) ?
The solution to expand sqrt(2)((8pi^3)/3+2x) is (8sqrt(2)pi^3)/3+2sqrt(2)x