We appreciate your visit to Which of the following is the product of the rational expressions shown here X x 2 3 x 2. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer:
[tex] \boxed{\sf \frac{3x}{ {x}^{2} - 4x + 4}} [/tex]
Step-by-step explanation:
[tex] \sf Product \: of \: the \: rational \: expression: \\ \sf \implies \frac{x}{x - 2} \times \frac{3}{x - 2} \\ \\ \sf \implies \frac{3x}{(x - 2)(x - 2)} \\ \\ \sf (x - 2)(x - 2) = (x)(x - 2) - 2(x - 2) : \\ \sf \implies \frac{3x}{ \boxed{ \sf (x)(x - 2) - 2(x - 2)}} \\ \\ \sf (x)(x - 2) - 2(x - 2) = (x)(x) - (2)(x) - 2(x) - (2)( - 2) : \\ \sf \implies \frac{3x}{ \boxed{ \sf (x)(x) - (2)(x) - 2(x) - (2)( - 2) }} \\ \\ \sf \implies \frac{3x}{ \boxed{ \sf {x}^{2}} - 2x - 2x - (2)( - 2)} \\ \\ \sf (2)( - 2) = - 4 : \\ \sf \implies \frac{3x}{ {x}^{2} - 2x - 2x - \boxed{ \sf - 4}} \\ \\ \sf - ( - 4) = 4 : \\ \sf \implies \frac{3x}{ {x}^{2} - 2x - 2x + \boxed{ \sf 4}} \\ \\ \sf - 2x - 2x = - 4x : \\ \\ \sf \implies \frac{3x}{ {x}^{2} - 4x + 4} [/tex]
Thanks for taking the time to read Which of the following is the product of the rational expressions shown here X x 2 3 x 2. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
Rewritten by : Barada
X/(x - 2) × 3/(x - 2) = 3x/(x² + 4x + 4). So, the correct option is A.
The product of the rational expressions shown here X/x-2•3/x-2
X/(x - 2) × 3/(x - 2)
3x/(x - 2)²
by the (a - b)² = a² + b² -2ab
(x - 2)² = x² + 4 - 4x
3x/(x² + 4 - 4x).
Therefore, the correct answer is 3x/(x² + 4 - 4x).
Learn more about rational expressions here:
https://brainly.com/question/29202318
#SPJ4
