Question

presiso que simplefique essa questão: $\frac{(x+1)! - (x-1)!}{x!-(x-1)!}$

Answer 1

$\frac{(x+1)!-(x-1)!}{x!-(x-1)!}=$

$\frac{(x+1)\cdot x\cdot (x-1)!-(x-1)!}{x\cdot (x-1)!-(x-1)!}=$

$\frac{((x+1)\cdot x-1)\cdot (x-1)!}{(x-1)\cdot (x-1)!}=$

$\frac{(x+1)\cdot x-1}{x-1}=$

$\frac{x^2+x-1}{x-1}$