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Multiply. Write your answer in simplest form. \newline−3(−6+3)-\sqrt{3}(-6 + \sqrt{3})

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Simplify radical expressions using the distributive propertyright chevron icon

Full solution

Q. Multiply. Write your answer in simplest form. \newline−3(−6+3)-\sqrt{3}(-6 + \sqrt{3})
  1. Distribute −3-\sqrt{3}: Distribute −3-\sqrt{3} to both terms inside the parentheses.−3(−6+3)=−3×(−6)+(−3)×3-\sqrt{3}(-6 + \sqrt{3}) = -\sqrt{3} \times (-6) + (-\sqrt{3}) \times \sqrt{3}
  2. Multiply −3-\sqrt{3} by −6-6: Multiply −3-\sqrt{3} by −6-6.\newline−3×(−6)=63-\sqrt{3} \times (-6) = 6\sqrt{3}
  3. Multiply −3-\sqrt{3} by 3\sqrt{3}: Multiply −3-\sqrt{3} by 3\sqrt{3}.\newline(-\sqrt{\(3\)}) \times \sqrt{\(3\)} = -(\sqrt{\(3\)} \times \sqrt{\(3\)}) = \(-3
  4. Combine results: Combine the results from Step 22 and Step 33. 63−36\sqrt{3} - 3

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