lizziepagan17 lizziepagan17
  • 21-10-2017
  • Mathematics
contestada

How do I write this as a single rational expression?

[tex] \frac{1}{p-2} - \frac{1}{p+2} [/tex]

Respuesta :

jdoe0001 jdoe0001
  • 21-10-2017
[tex]\bf \textit{difference of squares} \\ \quad \\ (a-b)(a+b) = a^2-b^2\qquad \qquad a^2-b^2 = (a-b)(a+b)\\\\ -------------------------------\\\\ \cfrac{1}{p-2}-\cfrac{1}{p+2}\impliedby \textit{so let's use the }\stackrel{LCD}{(p-2)(p+2)} \\\\\\ \cfrac{(p+2)~~-~~(p-2)}{(p-2)(p+2)}\implies \cfrac{\underline{p}+2~~\underline{-p}+2}{(p-2)(p+2)}\implies \cfrac{4}{p^2-2^2}\implies \cfrac{4}{p^2-4}[/tex]
Answer Link

Otras preguntas

is a nucleic acid that contains the genetic information for heredity in most organisms.A. a chromosomeB. geneticsC. a geneD. heredityE. DNA
how many quarts of plasma is equivalent to 975ml
The relative location of a place is its A. relationship to the people who live there. B. location in the south central United States. C. position in relation
what is the answer to 9x+5-x+3
What is the sum or product of 8 times 51
zinc put in concertrated sodium hydroxide
If you burn 45.2g of hydrogen and produce 404g of water, how much oxygen reacted
Use the table to decide whether 49n + 0.75 or 49 + 0.75n represents the total cost to rent a truck that you drive n miles
Provide a specific example in which you could solve a real-world application using volume.
How do you round to the nearest 12.261