Answer:
x + 4
Step-by-step explanation:
Given
[tex]\frac{x^2-16}{x-4}[/tex] → x ≠ 4
Factor the difference of squares on the numerator
x² - 16
= x² - 4² = (x - 4)(x + 4), thus expression becomes
= [tex]\frac{(x-4)(x+4)}{x-4}[/tex] ← cancel (x - 4) on numerator/ denominator
= x + 4
