1.take the trouble to do sth 此处trouble 是麻烦,困难
不辞辛苦地做某事例如：she took the trouble to run a shop online while she was studying in the university.
在大学就读期间,她不嫌麻烦地开了一家网店.
2.此处,trouble麻烦,困难,应该是不可数名词,所以出现troubles 说法不很好
3.trouble 作复数讲时指：苦恼；烦恼；忧虑Your troubles are the things that you are worried about.
She tells me her troubles.I tell her mine…我和她互相倾诉烦恼.
She kept her troubles to herself.她把烦心事都放在心里.