2 years ago

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

Mathematics

1 answer:

Romashka [77]2 years ago

5 0

Answer:

Step-by-step 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

$\frac{x^2}{(x-4)(x+4)}$ + $\frac{9x}{2x(x+4)}$

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

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