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

the pressure of a gas p(v) varies inversely with the volume of the gas v. The pressure of a gas measure 15 kg/cm2 when its volume 300 cm3 p(v)=20v p(v)=20/v p(v
Find the area of this shape please quick to.
20 POINTS MORE THAN ONE ANSWER Which examples of artificial selection are caused by human activity without people even realizing it? A. an increase of tuskless
Which of the following best supports the idea that the melting of glaciers in Antarctica is a global environmental threat? A. The melting of glaciers can cause
Mark said he can decompose the fraction 5/6 into three fractions with three different numerators. Is this possible? Explain
long division with work shown 985÷7
in the poem "the starry night" what ways does sextons's poem evoke the painting? what parts of the painting does she emphasize?
how to divied and multiply fraction but in word problems
how do you factor the expression 45c+10d?
Juliette and her two borthers spent $45.75 on flowers for their grandmother. PART A Each person will chip in the same amount. How much will each perso