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6\sqrt{3}\sqrt{2}-4\sqrt{3}+12\sqrt{2}-8
Apply the distributive property by multiplying each term of 2\sqrt{3}+4 by each term of 3\sqrt{2}-2.
6\sqrt{6}-4\sqrt{3}+12\sqrt{2}-8
To multiply \sqrt{3} and \sqrt{2}, multiply the numbers under the square root.