Given the expressions for \(A\), \(B\), and \(C\):

- \(A = 2a - 3\)
- \(B = (a + 5)(a - 5)\)
- \(C = 6a - 68\)

Let's analyze each expression:

1. **Expression for \(A\):**
   \[
   A = 2a - 3
   \]
   This is a linear expression in terms of \(a\).

2. **Expression for \(B\):**
   \[
   B = (a + 5)(a - 5)
   \]
   This expression represents a difference of squares. It can be simplified using the formula \(x^2 - y^2 = (x - y)(x + y)\):
   \[
   B = a^2 - 25
   \]

3. **Expression for \(C\):**
   \[
   C = 6a - 68
   \]
   This is also a linear expression in terms of \(a\).

If you have a specific question or need further operations with these expressions, such as finding their values for a particular \(a\), comparing them, or solving equations, please let me know!

### Would you like further details or have any questions?

Here are some related questions you might consider:

1. How do we solve for \(a\) if we set \(A = B\)?
2. What is the value of \(B\) when \(a = 10\)?
3. How do we factorize \(C = 6a - 68\) if possible?
4. How do the expressions \(A\) and \(C\) change if we increase \(a\) by 2?
5. How do we find the common value of \(a\) for which \(A = C\)?

**Tip:** When dealing with expressions like \(B = (a + 5)(a - 5)\), always look for patterns such as the difference of squares, which can simplify calculations significantly.

Explore how to analyze and solve linear and quadratic expressions with variables. Learn about linear equations, difference of squares, and their applications. Suitable for students in Grades 7-9.

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