Theorie:

Study the information about phrasal verbs + up.
 
1. Bring up a topic = introduce it in a conversation

Come up = be introduced in a conversation

Come up with an idea = produce an idea

Make something up = invent something that is not true
 
Some interesting matters came up in our discussion yesterday.
  
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I don’t want to hear any more about this matter. Please don’t bring it up again.
 
2. Cheer up = be happier

Save up = save money to buy something

Clear up = become bright (for weather)
  
Dan is saving up for a trip round the world.
  
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3. Blow up = explode

Blow something up = destroy it with a bomb

Tear something up = tear it into pieces

Beat somebody up = hit someone repeatedly, so that they are badly hurt
 
I didn’t read the letter. I just tore it up and threw it away.
  
4. Break up/split up = separate

Do up a coat = fasten, tie

Do up a building, a room= repair and improve it

Look something up in a dictionary

Put up with something = tolerate it

Hold up a person, a plan = delay

Mix up people/things, get people/things mixed up = you think one is the other.
 
The two brothers look similar. Many people mix them up.

The kitchen looks great now that it has been done up.
 
 
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Quellen:

Raymond Murphy. English Grammar in Use- Cambridge: CUP, 379p.