having finished homework,he went out to play
这个句子是属于非谓语的一个考点,having+pp,是现在分词的完成形式,在这个句子中“having finished homework,he went out to play”是现分短语做的状语,表示分词动作发生在主句谓语动词之前,先完成作业,再出去耍.
with his homework finished,he went out to play
第2句用with his homework having been finished,这是with的复合宾语做状语,但是你这个句子有一点问题,因为with的复合宾语结构中没有with+n+having的结构,你需要把这个问题在看看