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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.

Ive worked out the problem multiple times but I dont get any of the answer choices Can someone work it and tell me what you get The answer I have selected is cl class=

Respuesta :

hnori22003

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[tex] \frac{ {a}^{3} - 27 }{ {a}^{2} - 9 } \div \frac{ {a}^{2} + 3a + 9 }{a + 3} = \\ [/tex]

[tex] \frac{ {a}^{3} - 27 }{ {a}^{2} - 9 } \times \frac{a + 3}{ {a}^{2} + 3a + 9 } = \\ [/tex]

[tex] \frac{(a - 3)( {a}^{2} + 3a + 9) }{(a - 3)(a + 3)} \times \frac{a + 3}{ {a}^{2} + 3a + 9 } = \\ [/tex]

[tex] \frac{(a - 3)(a + 3)( {a}^{2} + 3a + 9) }{(a - 3)(a + 3)( {a}^{2} + 3a + 9) } = \\ [/tex]

[tex]1[/tex]

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The correct answer is the first option .

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