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10-4\sqrt{3}+5\sqrt{3}-2\left(\sqrt{3}\right)^{2}
Apply the distributive property by multiplying each term of 2+\sqrt{3} by each term of 5-2\sqrt{3}.
10+\sqrt{3}-2\left(\sqrt{3}\right)^{2}
Combine -4\sqrt{3} and 5\sqrt{3} to get \sqrt{3}.
10+\sqrt{3}-2\times 3
The square of \sqrt{3} is 3.
10+\sqrt{3}-6
Multiply -2 and 3 to get -6.
4+\sqrt{3}
Subtract 6 from 10 to get 4.