Question

12^n+3^n+¹×4^n+²
ajutor!​

Answer 1

Răspuns:

$\displaystyle{ = 12^{n} \cdot 49 }$

Explicație pas cu pas:

$\displaystyle{ 12^{n} + 3^{n+1} \cdot 4^{n+2} = }$

$\displaystyle{ = 12^{n} + 3^{n} \cdot 3 \cdot 4^{n} \cdot 4^{2} }$

$\displaystyle{ = 12^{n} + 12^{n} \cdot 3 \cdot 4^{2} }$

$\displaystyle{ = 12^{n} \cdot (1 + 3 \cdot 16) }$

$\displaystyle{ = 12^{n} \cdot 49 }$