The simplest form of the product given is 2(x+2)/x
Simplifying rational expressions
Given the rational expression below;
[tex]\frac{2x^2-10x-28}{6x} \times \frac{6}{x-7}[/tex]
This can also be expressed as:
[tex]\frac{x^2-5x-14}{3x} \times \frac{6}{x-7}[/tex]
Factorize the numerator to have;
[tex]\frac{(x+2)(x-7)}{3x} \times \frac{6}{x-7}\\\frac{2(x+2)}{x}\\[/tex]
Hence the simplest form of the product given is 2(x+2)/x
Learn more on product of fraction here: https://brainly.com/question/6109670
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