區別就是兩者都是動詞prefer+非謂語動詞短語,具體的不同如下
prefer to do中文意思是寧可做某事更喜歡做某事
They prefer to do some projects together, though, for example, to cut out paper dolls.
preferdoing中文意思是喜歡做某事
I prefer doing something useful outside to staying at home reading.