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-10\sqrt{15}\sqrt{6}-5\sqrt{15}\sqrt{10}
Use the distributive property to multiply -5\sqrt{15} by 2\sqrt{6}+\sqrt{10}.
-10\sqrt{90}-5\sqrt{15}\sqrt{10}
To multiply \sqrt{15} and \sqrt{6}, multiply the numbers under the square root.
-10\sqrt{90}-5\sqrt{150}
To multiply \sqrt{15} and \sqrt{10}, multiply the numbers under the square root.
-10\times 3\sqrt{10}-5\sqrt{150}
Factor 90=3^{2}\times 10. Rewrite the square root of the product \sqrt{3^{2}\times 10} as the product of square roots \sqrt{3^{2}}\sqrt{10}. Take the square root of 3^{2}.
-30\sqrt{10}-5\sqrt{150}
Multiply -10 and 3 to get -30.
-30\sqrt{10}-5\times 5\sqrt{6}
Factor 150=5^{2}\times 6. Rewrite the square root of the product \sqrt{5^{2}\times 6} as the product of square roots \sqrt{5^{2}}\sqrt{6}. Take the square root of 5^{2}.
-30\sqrt{10}-25\sqrt{6}
Multiply -5 and 5 to get -25.