Subject + 承认 + Clause/Noun
承认 (chéngrèn) is a verb meaning "to admit," "to acknowledge," or "to recognize." It is used when someone accepts or concedes a fact or outcome. For example, 承认失败 means "to admit defeat."
他承认自己犯了一个很大的错误。
Tā chéngrèn zìjǐ fàn le yí gè hěn dà de cuòwù.
He admitted that he had made a big mistake.
她不愿意承认这个事实。
Tā bù yuànyì chéngrèn zhège shìshí.
She is unwilling to admit this fact.
最后他终于承认是他弄坏的。
Zuìhòu tā zhōngyú chéngrèn shì tā nòng huài de.
In the end, he finally admitted that he was the one who broke it.