Subjects algebra

Factoring Simplified Eab154

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Question: factor the practice with grade 8 techniques and in a simpler form that is easy to understand
1. **Problem Statement:** Factor the given expression using grade 8 techniques and simplify it for easy understanding. 2. **General Approach:** To factor expressions, we look for common factors, use special products formulas (difference of squares, perfect square trinomials), and factor trinomials by splitting the middle term. 3. **Step-by-step factoring:** - Identify the expression to factor (since none was provided, let's consider a typical example: $$x^2 + 5x + 6$$). - Find two numbers that multiply to the constant term (6) and add to the coefficient of the middle term (5). These numbers are 2 and 3. - Rewrite the middle term using these numbers: $$x^2 + 2x + 3x + 6$$. - Group terms: $$(x^2 + 2x) + (3x + 6)$$. - Factor out the common factors in each group: $$x(x + 2) + 3(x + 2)$$. - Factor out the common binomial: $$(x + 2)(x + 3)$$. 4. **Explanation:** We broke down the middle term to make factoring easier, grouped terms to find common factors, and then factored the expression into two binomials. 5. **Final answer:** The factored form is $$(x + 2)(x + 3)$$. If you provide a specific expression, I can factor it step-by-step using grade 8 techniques in a simple way.