1. The problem is to understand how to factorize algebraic expressions. 2. Factorization means writing an expression as a product of its factors. 3. Common methods include: - Taking out the greatest common factor (GCF). - Using special formulas like difference of squares: $$a^2 - b^2 = (a-b)(a+b)$$. - Factoring trinomials like $$ax^2 + bx + c$$. 4. Example: Factorize $$x^2 - 9$$. 5. Recognize this as a difference of squares: $$x^2 - 3^2$$. 6. Apply the formula: $$x^2 - 9 = (x-3)(x+3)$$. 7. So, the factorized form is $$(x-3)(x+3)$$. This process helps simplify expressions and solve equations.