Question

Como simplificar (n+1)!+n!/(n+2)!  ?

 

Att. Pablo

Answer 1

$\frac{(n+1)!+n!}{(n+2)!} \\\\ \frac{(n+1) \cdot n!+n!}{(n+2) \cdot (n+1) \cdot n!} \\\\ \frac{n! \cdot [(n+1)+1]}{n!\cdot [(n+2) \cdot (n+1)]} \\\\ \frac{\not{n!} \cdot [(n+1)+1]}{\not{n!} \cdot [(n+2) \cdot (n+1)]} \\\\ \frac{(n+1)+1}{(n+2) \cdot (n+1)} \\\\ \frac{\not{n+2}}{\not{(n+2)} \cdot (n+1)} \\\\ \boxed{\boxed{\frac{1}{n+1}}}$

Answer 2

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