Can you cut out this cabbage's core?
Today, I'll teach your how to cut a star out of a piece of paper.
Why do you bother clipping coupons from newspapers if you never use them?
If you cut and take something, you are going to cut it right off. So, this verb is to cut off.
The readings come from 切る and 取る. So, know those words separately and you can combine them into this word.