Explanation:

- To blow up: This usually means to explode or to lose one's temper. It implies a sudden, often violent reaction, which doesn't align with the idiom "cast aside."

- To bear with: This means to tolerate or endure someone or something with patience. It suggests an ability to withstand or wait them out, not to cast something away.

- To display: This means to show or exhibit something. It involves putting something where it can be seen, not getting rid of it.

- To reject: This means to dismiss or refuse someone or something. This is the action of putting something aside, which is the correct interpretation of the idiom "cast aside."

- To reject is the correct answer for "cast aside."

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