Sarahvi4089 Sarahvi4089
  • 02-08-2018
  • Mathematics
contestada

what is the least common denominator of the rational expressions below? 1/x^2-5x+3/x^2+2x-35

Respuesta :

Kristiania Kristiania
  • 02-08-2018

Here the denominators are quadratics , so we need to factorise them first

1/(x²-5x) +3/(x²+2x-35)

factorising x²-5x ,

here GCF is x, so taking x out we have

x(x-5)

factorising x²+2x-35 using AC method,

we find factors of -35 that add up to give 2

(x-5)(x+7)

Since we have x-5 common in both denominators, so lcd of the rational expression will be product of x(x-5)(x+7)

lcd is x(x-5)(x+7)

Answer Link
schoolrocks110 schoolrocks110
  • 10-06-2022

Answer:

The correct answer is x(x-5)(x+7)

Step-by-step explanation:

Answer Link

Otras preguntas

Which of the following are possible changes to elections that might help with voter fatigue or low voter turnout? Select all that apply
What reason best highlights why the Red Scare led to restrictions on immigration in the US
which word best describes the mood of the passage ? (i feel like it’s D but i’m not sure)
Is the Florida scrub a forest or grassland
10/3 / 1/6 - (2.8 + 1.2)
12) A candy company used 8 gallons of syrup to make 4 batches of candy. What is the rate of syrup per batch? Please show work
What Universal Precautions do you think you will encounter often in the medical office?
Choose the correct verb to complete the sentence (Choose the American English version.). ____ the crowd going to be unruly? A) is B) are
90 points and will mark brainliest please help
What latin or greek root do you find in the word microcosm?