Prove that for all prime numbers $n$ larger than $3$ that $(9n+1)^2-(n+9)^2$ is divisible by $1920$.

Hi there, I've tried this problem for the past two days on and off but I'm getting increasingly frustrated as I think it's a really simple problem with a simple solution, but I'm having trouble connecting the dots. I've tried looking at congruencies and sub-cases to no avail, I've researched similiar problems and they usually look into proving divisibility with $128$ and $15$ ($3,5$). Any help's appreacited, thanks.