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\left(\sqrt{5}\right)^{2}-3\sqrt{5}+2\sqrt{5}-6
Apply the distributive property by multiplying each term of \sqrt{5}+2 by each term of \sqrt{5}-3.
5-3\sqrt{5}+2\sqrt{5}-6
The square of \sqrt{5} is 5.
5-\sqrt{5}-6
Combine -3\sqrt{5} and 2\sqrt{5} to get -\sqrt{5}.
-1-\sqrt{5}
Subtract 6 from 5 to get -1.