Question

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

Answer 1

C

Explanation:

Given

`(x^2-16)/((x-16)(x+4))`

The numerator is a difference of squares

x² - 16 = (x - 4)(x + 4)

=
`((x-4)(x+4))/((x-16)(x+4) )` ← cancel the common factor (x + 4) on numerator/ denominator

=
`(x-4)/(x-16)` → C