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

How did New England's physical geography help the growth of industries?
Explain why the railroads were not built in a straight line from east to west.
water in a pan over a radiator evaporates much faster than a water pan in a table ???? i need help ppl
What's an equivalent fraction for 10 15 by dividing
If the angles of a triangle are in ratio 2:3:7 find the measure of all the angles of the triangle
There is a turtle race. The race will last 2 minutes. I have to find the distance from the start each turtle will be at the end of the race. Speed (in inches pe
What is bigger fraction, 5/6 or 6/7
At a store , 24 bottles of water and 6 bags of chips costs $23.40. Five bottles of water and two bags of chips cost $6.60. What is the cost of a single bottle o
What is the 54th element on the periodic table?
Write an equation for a non-vertical line that contains the point ( 2,-4 )