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Multiply. Write your answer in simplest form.\newline−3(−5+5)-\sqrt{3}(-5 + \sqrt{5})

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Full solution

Q. Multiply. Write your answer in simplest form.\newline−3(−5+5)-\sqrt{3}(-5 + \sqrt{5})
  1. Distribute and Multiply: Distribute −3-\sqrt{3} to both terms inside the parentheses.−3(−5+5)=−3(−5)+−35-\sqrt{3}(-5 + \sqrt{5}) = -\sqrt{3}(-5) + -\sqrt{3}\sqrt{5}
  2. Multiply by −5-5: Multiply −3-\sqrt{3} by −5-5.−3⋅(−5)=53-\sqrt{3}\cdot(-5) = 5\sqrt{3}
  3. Multiply by 5\sqrt{5}: Multiply −3-\sqrt{3} by 5\sqrt{5}.−3⋅5-\sqrt{3}\cdot\sqrt{5}=−3⋅5= -\sqrt{3\cdot5}=−15= -\sqrt{15}
  4. Combine Results: Combine the results from Step 22 and Step 33.\newline53−155\sqrt{3} - \sqrt{15}

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