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MathematicsMathematics
13 March, 05:44

What is the difference?

StartFraction x Over x squared + 3 x + 2 EndFraction minus StartFraction 1 Over (x + 2) (x + 1) EndFraction

options

A) StartFraction x minus 1 Over 6 x + 4 EndFraction

B) StartFraction negative 1 Over 4 x + 2 EndFraction

C) StartFraction 1 Over x + 2 EndFraction

D) StartFraction x minus 1 Over x squared + 3 x + 2 EndFraction

+3
Answers (1)
  1. 13 March, 06:09
    0
    D

    Step-by-step explanation:

    x / (x²+3x+2) - 1/[ (x+2) (x+1) ]

    x² + 3x + 2 = x² + 2x + x + 2

    = x (x + 2) + (x + 2)

    = (x + 2) (x + 1)

    = x/[ (x+2) (x+1) ] - 1/[ (x+2) (x+1) ]

    = (x-1) / [ (x+2) (x+1) ]

    = (x-1) / (x²+3x+2)
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Home » Mathematics » What is the difference? StartFraction x Over x squared + 3 x + 2 EndFraction minus StartFraction 1 Over (x + 2) (x + 1) EndFraction options A) StartFraction x minus 1 Over 6 x + 4 EndFraction B) StartFraction negative 1 Over 4 x + 2 EndFraction C)
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