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?.

Answer 1

The common denominator in given fractions is given by:

$x+2$

Given that:

• To find the common denominator of $\dfrac{5}{x^2 - 4} - \dfrac{2}{x+2}$

Writing the denominator of first term in factored form:

$x^2 - 4 = (x-2)(x+2)$

Thus, we have the expression as:

$\dfrac{5}{(x-2)(x+2)} - \dfrac{2}{x+2}$

It is visible that the common factor in both fractions' denominators is:

$(x+2)$

Thus, the common denominator in given fractions is given by:

$x+2$

Learn more about common denominators here:

brainly.com/question/26051735

Answer 2

Answer:

D. X+2

Step-by-step explanation: