“Remember not the sins of my youth and my rebellious ways; according to your love remember me, for you are good, O Lord.”
Great response to those who say that during their youth they strayed from God. David is asking that God not remember his sins and rebellious ways, but to remember him. He is asking for a separation of himself from his sins. Hate the sin. Love the sinner.

“Blessed is he whose transgressions are forgiven, whose sins are covered.”
In the Old Testament times sins were only covered by the sacrifices they offered. Jesus removes sin and cleanses the conscience.

“I said, ‘I will confess my transgressions to the Lord’ – and you forgave the guilt of my sin.”
Not only did God forgive the sin, He cleansed David’s conscience.