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Calculati : (2 la puterea n+3•3ⁿ-2ⁿ•3 la puterea n+1+6ⁿ):6ⁿ.

Răspuns :

[2^(n+3)x3^n-2^nx3^(n+1)+6^n]:6^n=
[2^nx2³x3^n-2^nx3^nx3+6^n):6^n=
(6^nx8-6^nx3+6^n):6^n=
6^n(8-3+1):6^n=
6^nx6:6^n=6^(n+1-n)=6