Answer:
see explanation
Step-by-step explanation:
consecutive even numbers have a difference of 2
let the consecutive even numbers be n and n + 2, thus
(n + 2)² - n² ← expand (n + 2)² using FOIL
= n² + 4n + 4 - n² ← collect like terms
= 4n + 4
= 4(n + 1) ← which results in a multiple of 4
