ASAP!!! What is the least common denominator of the expression below?

Question

asked Feb 6, 2023 231k views

1 Answer

Pikachu · Answer 1 · 2023-02-12T00:35:03+0000

Answer:

D

Explanation:

factor the denominators of both fractions

x² - 16 ← is a difference of squares

= (x - 4)(x + 4)

8x + 2x² ← factor out 2x from each term

= 2x(4 + x) = 2x(x + 4)

then expression is

(x^2)/((x-4)(x+4)) +
(9x)/(2x(x+4))

with LCD of 2x(x + 4)(x - 4)