A technical auditor is reviewing the logic for a data analysis script that multiplies two rational functions: $f(x) = \frac{2x - 6}{x^2 - 8x + 15}$ and $g(x) = \frac{x^2 - 25}{2x + 10}$. Arrange the following steps in the correct order to calculate and simplify the product $R(x) = f(x) \cdot g(x)$ according to the standard procedure.

As a software quality assurance tester, you are validating a calculation module that multiplies two specific scaling factors represented by the rational functions: $f(x) = \frac{2x - 6}{x^2 - 8x + 15}$ and $g(x) = \frac{x^2 - 25}{2x + 10}$. According to the documented example for this standard procedure, what is the final simplified result of this product?

In a technical review of a calculation module used for engineering scaling, a specialist is verifying the factoring of the rational functions $f(x) = \frac{2x - 6}{x^2 - 8x + 15}$ and $g(x) = \frac{x^2 - 25}{2x + 10}$. Match each part of the functions with its correctly factored form according to the standard operating procedure.

A technical documentation specialist is auditing the logic of a billing algorithm that multiplies the rational functions f(x) = rac{2x - 6}{x^2 - 8x + 15} and g(x) = rac{x^2 - 25}{2x + 10}. True or False: In the standard procedure to simplify this product, the term $(x - 5)$ is identified as a common factor found in both the numerator and the denominator, allowing it to be divided out.

Technical Documentation Audit: Common Factor Identification

As a technical analyst reviewing the standard operating procedure (SOP) documentation for an algorithmic scaling tool, you are verifying the specific example provided in the manual. According to the documented procedure, when multiplying the rational functions $f(x) = \frac{2x - 6}{x^2 - 8x + 15}$ and $g(x) = \frac{x^2 - 25}{2x + 10}$, the final simplified product is ____.