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8-4\sqrt{3}+2\sqrt{3}-\left(\sqrt{3}\right)^{2}
Apply the distributive property by multiplying each term of 4+\sqrt{3} by each term of 2-\sqrt{3}.
8-2\sqrt{3}-\left(\sqrt{3}\right)^{2}
Combine -4\sqrt{3} and 2\sqrt{3} to get -2\sqrt{3}.
8-2\sqrt{3}-3
The square of \sqrt{3} is 3.
5-2\sqrt{3}
Subtract 3 from 8 to get 5.