Question

30^n | ( 5^n × 6^n + 15^n × 2^n+1

REPEDE VA ROGGG!!!
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Answer 1

Explicație pas cu pas:

${5}^{n} \cdot {6}^{n} + {15}^{n} \cdot {2}^{n + 1} = {(5 \cdot 6)}^{n} + {15}^{n} \cdot 2 \cdot {2}^{n} = {30}^{n} + 2 \cdot {(15 \times 2)}^{n} = {30}^{n} + 2 \cdot {30}^{n} = 3 \cdot {30}^{n} \ \ \vdots \ \ {30}^{n}$

$\implies {30}^{n} \ \Big| \ ({5}^{n} \cdot {6}^{n} + {15}^{n} \cdot {2}^{n + 1})$