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Question 1
Question
Simplify the following expression: \[(10+\sqrt{2})(12-\sqrt{6})\]
Answer
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\[12\sqrt{2}-10\sqrt{6}-\sqrt{3}+120\]
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\[6\sqrt{2}-5\sqrt{6}-\sqrt{3}+60\]
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\[12\sqrt{2}-10\sqrt{6}-2\sqrt{3}+60\]
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\[6\sqrt{2}-5\sqrt{6}-2\sqrt{3}+60\]
Question 2
Question
Simplify the following rational expression: \[\frac{x^2-4}{x^2-x-6}\]
Answer
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x = All real numbers
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x = All real numbers except for 3 → x ≠ 3
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x = 3,-3
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x = All real numbers except for -3 → x ≠ -3
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