Question

aratati ca fractia 2n plus 7 supra n plus 3 este ireductibila , oricine ar fi n apartine la N

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Answer 1

(2n+7)/(n+3)=(n+3+n+3+1)/(n+3)=(n+3)/(n+3)+(n+3)/(n+3)+1/(n+3)=
=1+1+1/(n+3)=2+1/(n+3)
1/(n+3) este fractie ireductibila pt.∀n∈N,deoarece (n+3)>1 pt.∀n∈N⇒
⇒2+1/(n+3)este ireductibil