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Cum simplifici prima fractie astfel incat sa ne dea a doua fractie?Rezolvare completa.Multumesc.

Cum Simplifici Prima Fractie Astfel Incat Sa Ne Dea A Doua FractieRezolvare CompletaMultumesc class=

Răspuns :

[tex]\dfrac{2^n+2^{n+1}+2^{n+2}}{7^n+7^{n+1}+7^{n+2}}=\dfrac{2^n+2\cdot 2^n+2^2\cdot 2^n}{7^n+7\cdot 7^n+7^2\cdot 7^n}=\dfrac{2^n+2\cdot 2^n+4\cdot 2^n}{7^n+7\cdot 7^n+49\cdot 7^n}=\\\\=\dfrac{7\cdot 2^n}{57\cdot 7^n}=\dfrac{2^n}{57\cdot 7^{n-1}}.[/tex]

Green eyes.