Question

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

Answer 1

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)