Question

simplique:
a) (n+3)! (n-2)! / n! (n-1)!

b) (n+4)!/ (n^2+7n+12) n!

Answer 1

a) (n+3).(n+2).(n+1).n! . (n-2)!  /  n! (n-1).(n-2)!

corta os n! e os ( n-2)!

(n+3).(n+2).(n+1)/ (n-1)

b)(n+4)!/ (n²2+7n+12) n!

   (n+4).(n+3).(n+2).(n+1).n!/ (n²2+7n+12) n!

corta os n!

(n+4).(n+3).(n+2).(n+1) / (n²2+7n+12)