Question

Simplifique a expressão:
$\frac{15! - 14! }{13! + 12!}$

Answer 1

Olá Matheus!

$\\ \displaystyle \mathsf{\frac{15! - 14!}{13! + 12!} =} \\\\\\ \mathsf{\frac{15 \cdot 14! - 14!}{13 \cdot 12! + 12!} =} \\\\\\ \mathsf{\frac{14! \cdot (15 - 1)}{12! \cdot (13 + 1)} =} \\\\\\ \mathsf{\frac{14! \cdot 14}{12! \cdot 14} =} \\\\\\ \mathsf{\frac{14 \cdot 13 \cdot 12!}{12!} =} \\\\\\ \mathsf{14 \cdot 13 =} \\\\ \boxed{\mathsf{182}}$