lalo82 lalo82
  • 04-08-2018
  • Mathematics
contestada

(1/x-2)-(1/x+2)=
(A)=0
(B)=-(1/4)
(C)=(-4/x^(2))
(D)=(4/x^(2)-4)
(E)=(2x/x^(2)-4)
show work

Respuesta :

gmany
gmany gmany
  • 04-08-2018

[tex] \dfrac{1}{x-2}-\dfrac{1}{x+2}=\dfrac{x+2}{(x-2)(x+2)}-\dfrac{x-2}{(x-2)(x+2)}\\\\=\dfrac{(x+2)-(x-2)}{(x-2)(x+2)}=\dfrac{x+2-x+2}{(x-2)(x+2)}=\dfrac{4}{x^2-4}\to(D) [/tex]

Used: [tex]a^2-b^2=(a-b)(a+b)[/tex]

Answer: (D)=(4/x^(2)-4)

Answer Link

Otras preguntas

Which of the following are common characteristics of a Shakespearean comedy
which of these are symptoms of schizophrenia
TRUE OR FALSE? Rock music came about in the late 1940s characterized by an emphasize backbeat
Which argument did Thurgood Marshall use to challenge the legality of segregation in Brown v. Board of Education?
Can someone help me with these questions please??
In what way do the respiratory and circulatory systems depend on each other
Hey guys help my please !!Q 4,6,7
While the rest of the academia is suffering from labor shortages, whatsup university averages five applicants for every position opening. with this ratio of app
How did president truman react to north korean invasion of soutg korea?
what are ways people can earn income with the internet