rachelcb81224 rachelcb81224
  • 30-07-2021
  • Mathematics
contestada

Which of the following is equal to the rational expression when x ≠ -4 or 16?

Which of the following is equal to the rational expression when x 4 or 16 class=

Respuesta :

jimrgrant1 jimrgrant1
  • 30-07-2021

Answer:

C

Step-by-step explanation:

Given

[tex]\frac{x^2-16}{(x-16)(x+4)}[/tex]

The numerator is a difference of squares

x² - 16 = (x - 4)(x + 4)

= [tex]\frac{(x-4)(x+4)}{(x-16)(x+4) }[/tex] ← cancel the common factor (x + 4) on numerator/ denominator

= [tex]\frac{x-4}{x-16}[/tex] → C

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