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Multiply. Write your answer in simplest form.\newline3(93)-\sqrt{3}(-9 - \sqrt{3})

Full solution

Q. Multiply. Write your answer in simplest form.\newline3(93)-\sqrt{3}(-9 - \sqrt{3})
  1. Distribute 3-\sqrt{3}: Distribute 3-\sqrt{3} to both terms inside the parentheses.-\sqrt{\(3\)}(\(-9 - \sqrt{33}) = -\sqrt{33}(9-9) - \sqrt{33}(-\sqrt{33})
  2. Multiply 3-\sqrt{3} by 9-9: Multiply 3-\sqrt{3} by 9-9.3(9)-\sqrt{3}\cdot(-9)=93= 9\sqrt{3}
  3. Multiply 3-\sqrt{3} by 3-\sqrt{3}: Multiply 3-\sqrt{3} by 3-\sqrt{3}.3(3)-\sqrt{3}\cdot(-\sqrt{3})=33= \sqrt{3}\cdot\sqrt{3}=33= \sqrt{3\cdot3}=9= \sqrt{9}=3= 3
  4. Combine results: Combine the results from Step 22 and Step 33. 93+39\sqrt{3} + 3

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