MATH SOLVE

3 months ago

Q:
# Prove the divisibility of the following numbers:51^7-51^6 by 25

Accepted Solution

A:

Hello from MrBillDoesMath!
Answer:
See Discussion belowDiscussion:
51^7 - 51^6 = => as 51^7 = 51^6 * 5151^6*51 - 51^6 = => factor 51^6 form each terms51^6(51 - 1) = => as 51 -1 - 5051^6* 50 = => as 50 - 2 * 2551^6 ( 25*2)so the original expression is divisible by 25
Thank you,
MrB