经过 + 尝试 / 尝试 + Verb
The word 尝试 (chángshì) can function as both a noun meaning "attempt" and a verb meaning "to try." It describes making an effort to do something, often something new or challenging. For example, 经过多次尝试 means "after many attempts."
这是我第一次尝试做中国菜。
Zhè shì wǒ dì yī cì chángshì zuò Zhōngguó cài.
This is my first time trying to cook Chinese food.
经过多次尝试,他终于成功了。
Jīngguò duō cì chángshì, tā zhōngyú chénggōng le.
After many attempts, he finally succeeded.
我们应该尝试用不同的方法解决这个问题。
Wǒmen yīnggāi chángshì yòng bùtóng de fāngfǎ jiějué zhège wèntí.
We should try to solve this problem using different methods.