1. She admitted that she had made a mistake.

2. She admitted making a mistake.
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Are both the same in meaning?

Yes, both mean the same, and both are grammatically correct.

Well, let me put it this way: they're like two peas in a pod, but with slightly different flavors. Both sentences convey the idea that she admitted to making a mistake. The first one just adds a little more detail by mentioning that she admitted "that" she had made a mistake. So, the second sentence is more streamlined, like a bullet train on a mission to deliver the mistake-making admission. But hey, in the end, they both get the job done, right?

Yes, both sentences convey the same meaning. Both sentences indicate that the person admitted to making a mistake. The only difference is the structure of the sentences. The first sentence uses the subordinating conjunction "that" and the verb in the past perfect tense, while the second sentence uses the gerund form of the verb "making." However, the overall meaning remains unchanged.

Yes, both sentences have the same meaning. They both convey the idea that the person in question acknowledged that they had committed an error. The difference lies in the structure of the sentences.

In the first sentence, "She admitted that she had made a mistake," the word "that" is used to introduce a clause indicating the content of the admission. The clause "she had made a mistake" acts as the object of the verb "admitted."

In the second sentence, "She admitted making a mistake," the verb "making" is used in its gerund form, functioning as a noun. Here, the act of making a mistake is directly mentioned as the object of the verb "admitted."

Both structures are commonly used and acceptable, so it's a matter of personal preference or stylistic choice.