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For what real values of a is the expression (a + 3)/((a^2 - 4)(a + 3)) undefined? List your answers in increasing order separated by commas.

 Aug 24, 2021
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Undefined means the denominator is 0.

 

 

So \((a^2 - 4)(a + 3) = 0\).

We can factor \((a^2 - 4) \), which is equal to \((a + 2)(a - 2)\), so (a^2 - 4)(a + 3) = \((a + 2)(a - 2)(a + 3)\) = 0, so a = -2, 2, -3

 

\(a = (-3, -2, 2)\)

 Aug 24, 2021

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