Question

What is the common denominator of StartFraction 5 Over x squared minus 4 EndFraction minus StartFraction 2 Over x + 2 EndFraction in the complex fraction StartFraction 2 Over x minus 2 EndFraction minus StartFraction 3 Over x squared minus 4 EndFraction divided by StartFraction 5 Over x squared minus 4 EndFraction minus 2 Over x + 2 EndFraction?
a)(x + 2)(x – 2)
b)x – 2
c)(x + 2)^2 (x – 2)
d)x+2

Answer 1

Answer:

a) (x+2)(x-2)

Step-by-step explanation:

Answer 2

The common denominator of the expression StartFraction 5 Over x squared minus 4 EndFraction minus StartFraction 2 Over x + 2 EndFraction is (x + 2) (x - 2)

How to find common denominator

Given:

{5/(x² - 4 ) - 4} - 2/(x + 2)

$(\frac{5}{ {x}^{2} - 4} - 4) - \frac{2}{x + 2}$

= {5/(x + 2) ( x - 2) - 4} - 2/(x + 2)

=

$( \frac{5}{(x + 2)(x - 2)} - 4) - \frac{2}{x + 2}$

The common denominator is (x + 2) (x - 2)

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