The expression you provided is:

\[
\frac{t^2 - 4}{2t - 4}
\]

Let's simplify this step-by-step:

1. **Factor the numerator** \( t^2 - 4 \). This is a difference of squares:
   \[
   t^2 - 4 = (t - 2)(t + 2)
   \]

2. Now, rewrite the expression as:
   \[
   \frac{(t - 2)(t + 2)}{2t - 4}
   \]

3. Factor the denominator \( 2t - 4 \). You can factor out a 2:
   \[
   2t - 4 = 2(t - 2)
   \]

4. Now the expression becomes:
   \[
   \frac{(t - 2)(t + 2)}{2(t - 2)}
   \]

5. Cancel out the common factor \( (t - 2) \) from the numerator and denominator:
   \[
   \frac{t + 2}{2}
   \]

So, the simplified expression is:
\[
\frac{t + 2}{2}
\]

### Do you have any questions, or would you like further details on any step?

Here are 5 related questions to expand your understanding:
1. How do you factor other types of quadratic expressions?
2. Can you simplify more complex rational expressions?
3. What happens when you cancel common factors in an expression?
4. How does the difference of squares formula work in various cases?
5. How would you handle an expression with multiple variables?

**Tip:** Always check for common factors in both the numerator and denominator before simplifying an expression.

Learn how to simplify the rational expression (t^2 - 4) / (2t - 4) by factoring and canceling common terms. This step-by-step guide covers algebraic concepts like factoring and the difference of squares, suitable for students in Grades 9-11.

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