Question

Which of the following is equal to the rational expression below when x≠4 x^2-16/x-4

Answer 1

Answer:

x + 4

Step-by-step explanation:

Given

$\frac{x^2-16}{x-4}$ → x ≠ 4

Factor the difference of squares on the numerator

x² - 16

= x² - 4² = (x - 4)(x + 4), thus expression becomes

= $\frac{(x-4)(x+4)}{x-4}$ ← cancel (x - 4) on numerator/ denominator

= x + 4