Answer:
see explanation
Step-by-step explanation:
let n and n + 2 be 2 consecutive even numbers, then their difference of their squares is
(n + 2)² - n² ← expand factor using FOIL
= n² + 4n + 4 - n² ← collect like terms
= 4n + 4 ← factor out 4 from each term
= 4(n + 1)
Since n and n + 2 are even then n + 1 is odd
So it is always an odd number multiplied by 4
