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Hello 4chan!

Geniuses are welcome in this thread. Can someone help my with my homework? I have to do some exercises in my logics course(Truth-functional logic). I will post my exercises from the easiest to hardest, so you can help me to solve one after another. I hope that you guys will help me so i will not drop out of university. My future is in your hands. I would really appreciate your help!

Here is my first exercise:

2. Prove that these two sentences are provably equivalent and answer the questions:

2.1 ((Q P) ? Q) ? (P ? Q)

2.2 (P ? Q) ? ((Q P) ? Q)

2.3 Why do you need two proofs here? AND For one of these proofs, you made assumption(s) (in addition to your premises). Why is that?