Question: Prove that, for arbitrary short exact sequences a 0A PX 0, of modules over R with projective for every n > 2 and B 0B

Prove that, for arbitrary short exact sequences

a 0A PX 0, of modules over R with projective for every 

a 0A PX 0, of modules over R with projective for every n > 2 and B 0B QY 0 modules P and Q, we have Tor, (X, Y) Torn-2 (A, B) Tor2(X, Y) Ker(a ).

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