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Multiply. Write your answer in simplest form.\newline−3(−4+5)-\sqrt{3}(-4 + \sqrt{5})

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Full solution

Q. Multiply. Write your answer in simplest form.\newline−3(−4+5)-\sqrt{3}(-4 + \sqrt{5})
  1. Distribute −3-\sqrt{3}: Distribute −3-\sqrt{3} to both terms inside the parentheses.−3(−4+5)=−3×(−4)+(−3)×5-\sqrt{3}(-4 + \sqrt{5}) = -\sqrt{3} \times (-4) + (-\sqrt{3}) \times \sqrt{5}
  2. Multiply −3-\sqrt{3} by −4-4: Multiply −3-\sqrt{3} by −4-4.\newline−3×(−4)=43-\sqrt{3} \times (-4) = 4\sqrt{3}
  3. Multiply −3-\sqrt{3} by 5\sqrt{5}: Multiply −3-\sqrt{3} by 5\sqrt{5}.\newline(−3)×5=−3×5=−15\left(-\sqrt{3}\right) \times \sqrt{5} = -\sqrt{3 \times 5} = -\sqrt{15}
  4. Combine results: Combine the results from Step 22 and Step 33. 43−154\sqrt{3} - \sqrt{15}

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