1. **Stating the problem:** Factor the given algebraic expression(s). 2. **General formula and rules:** Factoring involves rewriting an expression as a product of simpler expressions. Common methods include factoring out the greatest common factor (GCF), factoring trinomials, difference of squares, and grouping. 3. **Step-by-step example:** Since no specific expression was given, let's consider a general example: $x^2 + 5x + 6$. 4. **Find two numbers that multiply to the constant term (6) and add to the coefficient of $x$ (5):** These numbers are 2 and 3. 5. **Rewrite the middle term using these numbers:** $$x^2 + 2x + 3x + 6$$ 6. **Group terms:** $$(x^2 + 2x) + (3x + 6)$$ 7. **Factor each group:** $$x(x + 2) + 3(x + 2)$$ 8. **Factor out the common binomial:** $$(x + 3)(x + 2)$$ 9. **Final answer:** The factored form of $x^2 + 5x + 6$ is $$(x + 3)(x + 2)$$. If you provide a specific expression, I can factor that for you.