Answer:
Step-by-step explanation:
First factor the second binomial
38^9 - 38^8 = 38^8 (38 - 1 ) = 38^9(37)
So there's your 37. This whole expression is divisible by 37
Now do the first binomial
36^5 - (36^4)*6
(6^2)^5 - 6^9
6^10 - 6^9
6^9(6 - 1)
6^9 *5 Take out one of the 6s
6^8 * 6 * 5
6^8 * 30
So the first factor is divisible by 30
and the second factor is divisible by 37
So this factors into 30*6^8*37*38^9
