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(2^n+3 *3^n+2^2 *3^n*1+6^n):6^n

2n3 3n22 3n16n6n class=

Răspuns :

Obs.   2ⁿ NU 2²

( 2ⁿ⁺³ x 3ⁿ + 2ⁿ x 3ⁿ⁺¹ + 6ⁿ ) : 6ⁿ = 12

= [ ( 2 x 3)ⁿ x 2³ + ( 2 x 3 )ⁿ x 3 + 6 ⁿ ] : 6ⁿ =

= ( 6ⁿ x 8 + 6ⁿ x 3 + 6ⁿ ) : 6ⁿ =

= 6ⁿ x ( 8 + 3 + 1 ) : 6ⁿ =

= 12 x 6ⁿ : 6ⁿ =

= 12