What is expand 3((3pi)/2-(9sqrt(3))/4) ?

The solution to expand 3((3pi)/2-(9sqrt(3))/4) is (9pi)/2-(27sqrt(3))/4

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expand 3((3pi)/2-(9sqrt(3))/4)

expand

3 (\frac{3 π}{2} - \frac{9 3}{4})

\frac{9 π}{2} - \frac{27 3}{4}

Solution steps

3 (\frac{3 π}{2} - \frac{9 3}{4})

Apply the distributive law:

a (b - c) = ab - a c

a = 3, b = \frac{3 π}{2}, c = \frac{9 3}{4}

= 3 \cdot \frac{3 π}{2} - 3 \cdot \frac{9 3}{4}

Simplify

3 \cdot \frac{3 π}{2} - 3 \cdot \frac{9 3}{4} : \frac{9 π}{2} - \frac{27 3}{4}

= \frac{9 π}{2} - \frac{27 3}{4}

(7 - \frac{x ^{2}}{2})^{2}

\frac{6}{( s ^{2} + 9 ) ^{2}}

(\frac{1}{2 x} + 4) (\frac{1}{2 x} - 8)

2 π^{4} - 2 π^{4} cos (θ) + π^{4} sin (2 (1 - cos (θ)))

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

What is expand 3((3pi)/2-(9sqrt(3))/4) ?
The solution to expand 3((3pi)/2-(9sqrt(3))/4) is (9pi)/2-(27sqrt(3))/4