SOLUTION: Multiply {{{(3*sqrt(3)-6*sqrt(6))(5*sqrt(3)+10*sqrt(6))}}}

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Question 131914: Multiply %283%2Asqrt%283%29-6%2Asqrt%286%29%29%285%2Asqrt%283%29%2B10%2Asqrt%286%29%29
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%283%2Asqrt%283%29-6%2Asqrt%286%29%29%285%2Asqrt%283%29%2B10%2Asqrt%286%29%29 Start with the given expression


Now let's FOIL the expression



Remember, when you FOIL an expression, you follow this procedure:


Multiply the First terms:


Multiply the Outer terms:


Multiply the Inner terms:%28-6%2Asqrt%286%29%29%2A%285%2Asqrt%283%29%29=-30%2A3%2Asqrt%282%29=-90%2Asqrt%282%29


Multiply the Last terms:%28-6%2Asqrt%286%29%29%2A%2810%2Asqrt%286%29%29=-6%2A10%2Asqrt%286%2A6%29=-60%2A6=-360


45%2B90%2Asqrt%282%29-90%2Asqrt%282%29-360 Now collect every term to make a single expression


-315 Combine like terms


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Answer:
So %283%2Asqrt%283%29-6%2Asqrt%286%29%29%285%2Asqrt%283%29%2B10%2Asqrt%286%29%29 foils and simplifies to -315

In other words, %283%2Asqrt%283%29-6%2Asqrt%286%29%29%285%2Asqrt%283%29%2B10%2Asqrt%286%29%29=-315