Subjects algebra

Denominator Factorization

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1. Let's state the problem: We need to factorize the denominator of question 14. 2. Since the exact expression is not provided, let's consider a common example denominator such as $$x^2 - 9$$. 3. Recognize that $$x^2 - 9$$ is a difference of squares, which factors as $$a^2 - b^2 = (a - b)(a + b)$$. 4. Here, $$a = x$$ and $$b = 3$$, so the factorization is $$x^2 - 9 = (x - 3)(x + 3)$$. 5. This method applies to any quadratic expression that is a difference of squares. 6. If the denominator is a different polynomial, the factorization method depends on its form (e.g., factoring quadratics, factoring by grouping, or using the quadratic formula). 7. Please provide the exact denominator expression for a precise factorization if needed.