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Multiply. Write your answer in simplest form.\newline−3(−10+3)-\sqrt{3}(-10 + \sqrt{3})

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Full solution

Q. Multiply. Write your answer in simplest form.\newline−3(−10+3)-\sqrt{3}(-10 + \sqrt{3})
  1. Distribute −3-\sqrt{3}: Distribute −3-\sqrt{3} to both terms inside the parentheses.\newline−3(−10+3)-\sqrt{3}(-10 + \sqrt{3})\newline= −3×(−10)+−3×3-\sqrt{3} \times (-10) + -\sqrt{3} \times \sqrt{3}
  2. Multiply −3-\sqrt{3} by −10-10: Multiply −3-\sqrt{3} by −10-10.\newline−3×(−10)=103-\sqrt{3} \times (-10) = 10\sqrt{3}
  3. Multiply −3-\sqrt{3} by 3\sqrt{3}: Multiply −3-\sqrt{3} by 3\sqrt{3}.\newline−3×3=−(3)2-\sqrt{3} \times \sqrt{3} = -(\sqrt{3})^2
  4. Simplify square of 3\sqrt{3}: Simplify the square of 3\sqrt{3}.−(3)2=−3-(\sqrt{3})^2 = -3
  5. Combine results: Combine the results from Step 22 and Step 44. 103−310\sqrt{3} - 3

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