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I've worked out the problem multiple times but I don't get any of the answer choices. Can someone work it and tell me what you get? The answer I have selected is closest to what I'm getting.

I've worked out the problem multiple times but I don't get any of the answer choices-example-1

1 Answer

2 votes

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\frac{ {a}^(3) - 27 }{ {a}^(2) - 9 } / \frac{ {a}^(2) + 3a + 9 }{a + 3} = \\


\frac{ {a}^(3) - 27 }{ {a}^(2) - 9 } * \frac{a + 3}{ {a}^(2) + 3a + 9 } = \\


\frac{(a - 3)( {a}^(2) + 3a + 9) }{(a - 3)(a + 3)} * \frac{a + 3}{ {a}^(2) + 3a + 9 } = \\


\frac{(a - 3)(a + 3)( {a}^(2) + 3a + 9) }{(a - 3)(a + 3)( {a}^(2) + 3a + 9) } = \\


1

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The correct answer is the first option .

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User Sushma
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