Question

Simplifique as expressões abaixo:


a) 8! ÷ 6!

b) 10! ÷ 5! . 3!

c) 6! . 11! ÷ 12! . 4!

d) (n+1)! ÷ (n-1)!

e) 13! + 15! ÷ 13!

Answer 1

Explicação passo-a-passo:

a) 8.7.6!

_____=

6!

56

b) 10.9.8.7.6.5!

___________'

5! . 3.2.1

30240/6=

5040

c) 6.5.4! . 11!

_________=

12.11! . 4!

30/12=

30÷ 6

_____=

12÷6

5/2

d) (n+1) . n .( n-1)!

____________=

(n-1)!

(n+1).n=

n² + n

e) 13! + 15! ÷ 13!=

13! + 15.14.13!/13!=

13! .( 1 + 15 .14) /13!=

1 + 210=

211