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3\sqrt{2}\sqrt{3}-15\left(\sqrt{2}\right)^{2}
Use the distributive property to multiply 3\sqrt{2} by \sqrt{3}-5\sqrt{2}.
3\sqrt{6}-15\left(\sqrt{2}\right)^{2}
To multiply \sqrt{2} and \sqrt{3}, multiply the numbers under the square root.
3\sqrt{6}-15\times 2
The square of \sqrt{2} is 2.
3\sqrt{6}-30
Multiply -15 and 2 to get -30.