Problem
ALG-B1-M11-P003 Parity
#3
★☆☆☆☆ Level 1 of 5
Prove that \(n^2-n\) is even for every integer \(n\).
Factor into neighboring terms.
\(n^2-n=n(n-1)\). Among two consecutive integers, one is even.
Strategy: divisibility through a product.