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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?.

Respuesta :

The common denominator in given fractions is given by:

[tex]x+2[/tex]

Given that:

  • To find the common denominator of [tex]\dfrac{5}{x^2 - 4} - \dfrac{2}{x+2}[/tex]

Writing the denominator of first term in factored form:

[tex]x^2 - 4 = (x-2)(x+2)[/tex]

Thus, we have the expression as:

[tex]\dfrac{5}{(x-2)(x+2)} - \dfrac{2}{x+2}[/tex]

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

[tex](x+2)[/tex]

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

[tex]x+2[/tex]

Learn more about common denominators here:

https://brainly.com/question/26051735

ginandgabe

Answer:

a). (X+2) (x-2)

Step-by-step explanation:

Correct on edge

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