What is expand (4sqrt(3))/(pi^2)(2sqrt(3)x-sqrt(3)) ?

The solution to expand (4sqrt(3))/(pi^2)(2sqrt(3)x-sqrt(3)) is (24x)/(pi^2)-(12)/(pi^2)

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expand (4sqrt(3))/(pi^2)(2sqrt(3)x-sqrt(3))

expand

\frac{4 3}{π ^{2}} (23 x - 3)

\frac{24 x}{π ^{2}} - \frac{12}{π ^{2}}

Solution steps

\frac{4 3}{π ^{2}} (23 x - 3)

Apply the distributive law:

a (b - c) = ab - a c

a = \frac{4 3}{π ^{2}}, b = 23 x, c = 3

= \frac{4 3}{π ^{2}} \cdot 23 x - \frac{4 3}{π ^{2}} 3

= 23 \frac{4 3}{π ^{2}} x - 3 \frac{4 3}{π ^{2}}

Simplify

23 \frac{4 3}{π ^{2}} x - 3 \frac{4 3}{π ^{2}} : \frac{24 x}{π ^{2}} - \frac{12}{π ^{2}}

= \frac{24 x}{π ^{2}} - \frac{12}{π ^{2}}

\frac{( ( 3 x + 4 ) x ^{2} + 3 x + 4 )}{( x ^{2} - 1 )}

\frac{9 ( - 3 π l + 1280 )}{160}

\frac{7}{8} (32 x - 16 y + 24 z)

\frac{6 d + 14}{2}

(cos (t)) (sin (t) + cos (t))

What is expand (4sqrt(3))/(pi^2)(2sqrt(3)x-sqrt(3)) ?
The solution to expand (4sqrt(3))/(pi^2)(2sqrt(3)x-sqrt(3)) is (24x)/(pi^2)-(12)/(pi^2)