The given expression [tex]\( a^2 - b^2 \)[/tex] can be factored using a specific technique that applies to the difference of squares. To factor this expression, follow these steps:
1. Recognize the Difference of Squares Form: The expression [tex]\( a^2 - b^2 \)[/tex] is a classic example of a difference of squares, where you have two squared terms separated by a minus sign.
2. Apply the Difference of Squares Formula: The formula for factoring the difference of squares is:
[tex]\[
a^2 - b^2 = (a - b)(a + b)
\][/tex]
3. Factor the Expression:
- Start with the expression [tex]\( a^2 - b^2 \)[/tex].
- Use the difference of squares formula to rewrite this expression as:
[tex]\[
(a - b)(a + b)
\][/tex]
So, the factorization technique used for expressions like [tex]\( a^2 - b^2 \)[/tex] is called factoring by Difference of Squares.
