kguthro1
kguthro1 kguthro1
  • 19-03-2022
  • Mathematics
contestada

Urgent!!! Simplify the complex rational expression?

Urgent Simplify the complex rational expression class=

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sqdancefan
sqdancefan sqdancefan
  • 19-03-2022

Answer:

  (3x +2w)/(2x -3w)

Step-by-step explanation:

The usual rules for adding and dividing fractions apply:

  (a/b) +(c/d) = (ad +bc)/(bd) . . . . . . . use a common denominator

  (a/b)/(c/b) = a/c . . . . . . . . . . . . same denominators "cancel"

__

  [tex]\dfrac{\dfrac{3}{w}+\dfrac{2}{x}}{\dfrac{2}{w}-\dfrac{3}{x}}=\dfrac{\dfrac{3x+2w}{wx}}{\dfrac{2x-3w}{wx}}=\boxed{\dfrac{3x+2w}{2x-3w}}[/tex]

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