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The given expression is:

\[
\frac{x^2 - 6x + 9}{x^2 - 9} - 7
\]

To find an equivalent expression, we should simplify this step by step.

### Step 1: Factorize the Expression

Factor both the numerator and the denominator of the fraction:

\[
x^2 - 6x + 9 = (x - 3)^2, \quad x^2 - 9 = (x - 3)(x + 3)
\]

So, the expression becomes:

\[
\frac{(x - 3)^2}{(x - 3)(x + 3)} - 7
\]

Simplify the fraction:

\[
\frac{x - 3}{x + 3} - 7
\]

### Step 2: Combine the

Which expression is equivalent to the given expression? (x^2 - 6x + 9) / (x^2 - 9) - 7

Find the equivalent expression for (x^2 - 6x + 9) / (x^2 - 9) - 7 by factoring and simplifying rational expressions. This solution involves algebraic techniques such as factoring quadratics and simplifying rational expressions, suitable for students in Grades 8-10.

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