1. The problem is to factorize an algebraic expression. Since no specific expression was given, let's consider a general approach. 2. Factorization involves expressing a polynomial as a product of simpler polynomials or factors. 3. Common methods include: - Taking out the greatest common factor (GCF). - Factoring trinomials of the form $ax^2 + bx + c$. - Using special formulas like difference of squares: $$a^2 - b^2 = (a - b)(a + b)$$ - Factoring perfect square trinomials: $$a^2 \, \pm \, 2ab \, + \, b^2 = (a \pm b)^2$$ 4. Example: Factorize $$x^2 - 9$$. - Recognize this as a difference of squares: $$x^2 - 3^2$$. - Apply the formula: $$x^2 - 9 = (x - 3)(x + 3)$$. 5. Another example: Factorize $$x^2 + 5x + 6$$. - Find two numbers that multiply to 6 and add to 5: 2 and 3. - Write as: $$(x + 2)(x + 3)$$. 6. If you provide a specific expression, I can factorize it step-by-step for you.