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Multiply. Write your answer in simplest form. \newline−3(9+3)-\sqrt{3}(9 + \sqrt{3})

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Full solution

Q. Multiply. Write your answer in simplest form. \newline−3(9+3)-\sqrt{3}(9 + \sqrt{3})
  1. Distribute and Multiply: Distribute −3-\sqrt{3} to both terms inside the parentheses.−3(9+3)=−3×9+−3×3-\sqrt{3}(9 + \sqrt{3}) = -\sqrt{3}\times 9 + -\sqrt{3}\times\sqrt{3}
  2. Multiply by 99: Multiply −3-\sqrt{3} by 99.−3×9-\sqrt{3}\times 9=−9×3= -9\times\sqrt{3}
  3. Multiply by 3\sqrt{3}: Multiply −3-\sqrt{3} by 3\sqrt{3}.
    −3×3-\sqrt{3}\times\sqrt{3}
    = −(3)2-\left(\sqrt{3}\right)^2
    Since the square root and the square cancel each other out, this simplifies to −3-3.
  4. Combine Results: Combine the results from the previous steps. \newline−93−3-9\sqrt{3} - 3\newlineThis is the simplified form of the expression.

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