Question

Show that 6^3-1 is divisible by 5 using our identities

Answer 1

`\displaystyle 6^3 - 1 = 216 - 1 = 215`

The number 215 is divisible by 5 because it ends in 5, according to the divisibility rules.

I am joyous to assist you anytime.

Answer 2

Explanation:

a³-b³=(a-b)(a²+ab+b²)

6³-1=6³-1³=(6-1)(6²+6*1+1²)=5×43

so 6³-1 is divisible by 5.