The difference between Expel and Throw out

When used as verbs, expel means to eject or erupt, whereas throw out means to discard.

check bellow for the other definitions of Expel and Throw out

Expel as a verb:

To eject or erupt.
Expel as a verb (obsolete):

To fire (a bullet, arrow etc.).
Expel as a verb (transitive):

To remove from membership.

Examples:

"synonyms: drive away drive out force out"

"He was expelled from school multiple times."
Expel as a verb (transitive):

To deport.

Throw out as a verb (idiomatic):

To discard; to dispense with something; to throw away.

Examples:

"Just throw out that pen if it doesn't write anymore."

"They decided to throw out the idea because it would have been too expensive."
Throw out as a verb (idiomatic):

To dismiss or expel someone from any longer performing duty or attending somewhere.

Examples:

"The board threw the man out, because he wouldn't cooperate and agree with their plans to remodernize the facility."

"The ushers threw the woman out of the auditorium, because she kept shouting out insults to the guest of honor when he made his speech."
Throw out as a verb (idiomatic):

To offer an idea for consideration.

Examples:

"Let me throw this out there – how about if we make the igloo out of butter? Would that work?"
Throw out as a verb:

To produce in a haphazard fashion.

Examples:

"This program keeps throwing out errors."