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

A flatbed truck is loaded 7,000 pounds of bricks. How many tons of bricks are on the truck?

Express the perimeter of the triangle as a polynomial. 8x+2 5x-4 9x+3

The section of the small intestine between the duodenum and ilium?

Which is an example of a structural adaptation of a plant? A. plant moving toward light to increase photosynthesis B. roots responding to gravity to get to wa

Tu as quels cours le jeudi matin?

explain, in terms of atomic structure, why group 18 elements on the periodic table rarely form compounds

Give a recursive algorithm for ﬁnding the sum of the ﬁrst n odd positive integers.

Explain why applying a vertical translation and then a horizontal translation produces the same result as applying a horizonatal translation and then a vertical

Jimmy pays $2.93 for each gallon of gas. Which table best represents the relationship between g, the number of gallons purchased, and m, the amount he pays for

who was the founder of Pennsylvania?