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Brainliest for the correct awnser!!! Which of the following is the product of the rational expressions shown below?

Brainliest for the correct awnser Which of the following is the product of the rational expressions shown below class=
Brainliest for the correct awnser Which of the following is the product of the rational expressions shown below class=

Respuesta :

Answer:

[tex] \frac{ {x}^{2} - 1 }{ {x}^{2} - 25 } [/tex]

Step-by-step explanation:

[tex] \frac{x - 1}{x + 5} \times \frac{x + 1}{x - 5} [/tex]

To multiply the fraction, multiply the numerators and denominators separately

[tex] \frac{(x - 1) \times (x + 1)}{(x + 5) \times (x - 5)} [/tex]

Using [tex] {a}^{2} - {b}^{2} = (a - b)(a + b)[/tex] simplify the product

[tex] = \frac{ {x}^{2} - 1 }{ {x}^{2} - 25 } [/tex]

Hope this helps..

Best regards!!