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 :

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

Spanish and Portuguese arethe main languages is what

Shawna is a member of the swim team. She can swim 3 laps in 3 minutes and 21 seconds. If Shawna swims at the same pace, how long would it take her to swim 8 lap

Find the x- and y- intercepts of the equation -x+5y=10.

53:42 Migration and interdependence are aspects of which of the six essential elements of geography? A. human-environment interaction B. human systems C. enviro

solve: 12.5 z – 6.4 = –8 z + 3(1.5 z – 0.5)

explain why the women cannot see the reflection of her toes?

1. What is your view of human nature? 2. Who should lead our country? 3. How strong should our national government be? 4. What is the ideal economy? 5. Is the e

Please help me !!!!!! (How was the Constitution designed to prevent tyranny? Does it work? How can we improve it?)

helppppppo poooooooo

what do you mean by elements its example