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GABOR11
GABOR11 GABOR11
  • 21-02-2017
  • Mathematics
Answered

aratati ca fractia 2n+7/n+3 este ireductibila

Verified Answer :

ULKa
ULKa ULKa
  • 21-02-2017

I'm not sure with it.

View image ULKa
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Danutz98
Danutz98 Danutz98
  • 07-08-2019

According to Euclidean's algorithm:

GCD(a, b) = GCD(a-b, b), a > b

GCD(a, b) = GCD(a, b-a), b > a

GCD(2n+7, n+3) = GCD(2n+7-n-3, n+3)  = GCD(n+4, n+3) =

= GCD(n+4-n-3, n+3) = GCD(1, n+3) = 1

⇒ The fraction is irreductible.

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