Question

(2²^n^+1×3^n+4^n×3^n tot la puterea asta +2):12^n



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Answer 1

Explicație pas cu pas:

${( {2}^{2n + 1} \cdot {3}^{n} + {4}^{n} \cdot {3}^{n+2})} : {12}^{n} = {( 2 \cdot {2}^{2n} \cdot {3}^{n} + 3^{2} \cdot {(4 \cdot 3)}^{n})} : {12}^{n} =$

$= {( 2 \cdot {4}^{n} \cdot {3}^{n} + 9 \cdot {12}^{n})} : {12}^{n} = {( 2 \cdot {12}^{n} + 9 \cdot {12}^{n})} : {12}^{n}$

$= 11 \cdot {12}^{n} : {12}^{n} = 11$