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The expression $(x^{2} - 9) / (x^{2} + 6 x + 9)$ , where $x$ ≠ −3, simplifies to:

Competition practiceAlgebra

A $(x + 3) / (x - 3)$
B $(x - 3) / (x + 3)$
C $x - 3$
D $(x - 3)^{2} / (x + 3)$

Step-by-Step Solution

Numerator =

(x - 3) (x + 3)

and denominator =

(x + 3)^{2}

. Cancelling one factor of

(x + 3)

leaves

(x - 3) / (x + 3)

.

Answer: B)

(x - 3) / (x + 3)

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