Answer :
This play-within-a-play no longer only enables Hamlet to decide Claudius's guilt, but additionally acts as a spur for his personal revenge: it suggests to him the homicide that became carried out to his father and the homicide that could be completed to his uncle.
The principle purpose of the play-within-a-play is to "catch the sense of right and wrong of the King." Hamlet plans to have a troupe of actors perform the suspected situations of his father's demise, reasoning that if Claudius did kill his father, his guilt turns into obtrusive when he watches the play.
The play-within-a-play in Act III of Hamlet represents Elizabethan drama with the aid of coaching a spiritual lesson to the characters of the play. this is a lesson to each Claudius who's now aware of the reality that Hamlet suspects him and to Hamlet, who has shown his doubts.
Hamlet then decides he's going to homicide his uncle in retaliation for the murder of his father. Hamlet is in the end satisfied and he feels the play has in the end given him the solutions he wished. The play The Murder of Gonzago (aka The Mousetrap) is significant as it proves Claudius, Hamlet's uncle, murdered Hamlet's father.
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