If you cut your hair now and then, does that make it grow faster and longer?

Say, I cut 10 cm off my hair, and then cut the split ends, at least every one or two months, will this make my hair grow faster then it would when I don’t cut it? And just let it grow?

Notice: my hair is pretty healthy, only about 20% of it is getting thinner at the ends, or splitting, etc.

Or should I just cut the spit ends, without the 10 centimeters first?

Or is this all just one big MYTH?!

My goal here is to get my natural hair colour back as soon as possible. Or at least a little faster then normal.

Thank you in advance for your time!