What is expand (sqrt(3))/2 (x-pi/6) ?

The solution to expand (sqrt(3))/2 (x-pi/6) is (sqrt(3)x)/2-pi/(4sqrt(3))

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expand (sqrt(3))/2 (x-pi/6)

expand

\frac{3}{2} (x - \frac{π}{6})

\frac{3 x}{2} - \frac{π}{4 3}

Solution steps

\frac{3}{2} (x - \frac{π}{6})

Apply the distributive law:

a (b - c) = ab - a c

a = \frac{3}{2}, b = x, c = \frac{π}{6}

= \frac{3}{2} x - \frac{3}{2} \cdot \frac{π}{6}

= \frac{3}{2} x - \frac{π}{6} \cdot \frac{3}{2}

Simplify

\frac{3}{2} x - \frac{π}{6} \cdot \frac{3}{2} : \frac{3 x}{2} - \frac{π}{4 3}

= \frac{3 x}{2} - \frac{π}{4 3}

\frac{2 x}{( 1 + x ^{2} ) ^{2}}

(2 x - 3) (2 x + 3)

x (x^{3} - x y^{2} + 2 y^{3}) d y - y (x^{3} + 2 y^{3}) d x

\frac{x}{( x - 2 ) ( x - 3 )}

2 (cos (x) - sin (x))

What is expand (sqrt(3))/2 (x-pi/6) ?
The solution to expand (sqrt(3))/2 (x-pi/6) is (sqrt(3)x)/2-pi/(4sqrt(3))