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

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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}\cdot 6 + -\sqrt{3}\cdot \sqrt{3}
  2. Multiply −3-\sqrt{3} by 66: Multiply −3-\sqrt{3} by 66.\newline−3×6-\sqrt{3} \times 6\newline=−63= -6\sqrt{3}
  3. Multiply −3-\sqrt{3} by 3\sqrt{3}: Multiply −3-\sqrt{3} by 3\sqrt{3}.\newline−3×3-\sqrt{3} \times \sqrt{3}\newline= −3-3\newlineThis is because the square root of a number multiplied by itself gives the original number.
  4. Combine the results: Combine the results from Step 22 and Step 33.\newline−63−3-6\sqrt{3} - 3\newlineThis is the simplified form of the expression.

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