Question

Prove that 9^6 - 3^10 is divisible by 24

Answer 1

Step-by-step explanation:

We can simplify the expression and see if it has a factor of 24. It does.

9^6 -3^10 = (3^2)^6 -3^10

= 3^12 -3^10 = 3^10(3^2 -1)

= 8×3^10

= (24)(3^9) . . . . a number divisible by 24