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

the volume of a large sphere (of radius R) is twice the volume of a smaller sphere (of radius r). form an equation linking r and R.

On January 1, 2018, Busy Beaver, Inc., signed a $315,000, 5-year note payable to buy a new industrial veneer cutter. Busy Beaver plans to use the machine for 10

How long do financial records remain on your credit report?

Which element below is most reactive ? A. Oxygen B. Hydrogen C. Chlorine D. Neon

If the volume of the cell increases, then the surface area must

Who has a tw octane on rocket leage?

Josephine has a checking account. She withdraws $325 for groceries on Monday. She deposits $485 on Wednesday. She writes a $260 check for bills on Friday. She e

What is the x-coordinate of point P on the coordinate grid?

The first step in the scientific method usually is: A:formulate a conclusion B:conduct an experiment C: develop a hypothesis D: ask a question

SOMEONE HELP ME PLEASE Radiation conduction convection