Question

Simplifique a expressao
$\frac{90!+91!}{89!}$

Answer 1

x = $\frac{90!+91!}{89!}$ = 90!/89! + 91!/89! = $\frac{90 . 89!}{89!}$ + $\frac{91 . 90 . 89!}{89!}$

x = 90 + 91 . 90 = 90 + 8190

x = 8280

Answer 2

$x=\frac{90!+91!}{89!}$

$x=\frac{90!}{89!}+\frac{91!}{89!}$

$x=\frac{90*89!}{89!}+\frac{91*90*89!}{89!}$

$x=90+91*90$

$x=90+8190$

$\large\boxed{\boxed{{x=8280}}}}}$