Answer :

Certainly! To solve the expression [tex]\(169m^2 - 4u^2\)[/tex], we can use the difference of squares formula. The difference of squares formula is:

[tex]\[ a^2 - b^2 = (a + b)(a - b) \][/tex]

Here's how we apply this to the given expression:

1. Identify the squares:

- The term [tex]\(169m^2\)[/tex] is a perfect square because it can be written as [tex]\((13m)^2\)[/tex].
- The term [tex]\(4u^2\)[/tex] is also a perfect square because it can be written as [tex]\((2u)^2\)[/tex].

2. Apply the difference of squares formula:

- Let [tex]\(a = 13m\)[/tex] and [tex]\(b = 2u\)[/tex].

- Substitute into the difference of squares formula:
[tex]\[
(13m + 2u)(13m - 2u)
\][/tex]

3. Conclusion:

The expression [tex]\(169m^2 - 4u^2\)[/tex] can be factored into [tex]\((13m + 2u)(13m - 2u)\)[/tex].

That's how we factor the expression using the difference of squares!