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MAXImum [283]
3 years ago
6

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

Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
8 0

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

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