SOLUTION: (3 √7 – 2 √6) (3 √7 + 2 √6)

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Question 374920: (3 √7 – 2 √6) (3 √7 + 2 √6)
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
%283sqrt%287%29+-+2sqrt%286%29%29%283sqrt%287%29+%2B+2sqrt%286%29%29
You can just use FOIL to multiply these. Or, if you notice, this expression fits the left side of pattern: %28a-b%29%28a%2Bb%29+=+a%5E2-b%5E2, with "a" being 3sqrt%287%29 and "b" being 2sqrt%286%29. I like using the patterns when possible. So, according to the pattern, your expression will work out to be:
%283sqrt%287%29%29%5E2+-+%282sqrt%286%29%29%5E2
which simplifies as follows:
3%5E2%2Asqrt%287%29%5E2+-+2%5E2%2Asqrt%286%29%5E2
9*7 - 4*6
63 - 24
39

Note: If you use FOIL you should get exactly the same answer.