Question 150430
Given: {{{(2*sqrt(3) - 6*sqrt(7)) * (4*sqrt(3) + 12*sqrt(7))}}} 
Use the 'normal method' for expanding via distribution.
{{{((2*sqrt(3)* 4*sqrt(3)) + (2*sqrt(3)*12*sqrt(7))- (6*sqrt(7)* 4*sqrt(3)) - (6*sqrt(7) * 12*sqrt(7)))}}} 
Now simplify each term
{{{(8*3 + (24*sqrt(3)*sqrt(7))- (24*sqrt(7)*sqrt(3)) - (72*7))}}}
The two terms in the middle cancel each other out in this case
{{{24 - 504}}}
{{{-480}}}