40 Prove that:(A + 2B)·(2A - 3B) = 2A² + AB cos θ - 6B²This appears to be a vector algebra problem a

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Prove that `(vec(A)+2vec(B)).(2vec(A)-3vec(B))=2A^(2)+AB cos theta-6B^(2)`. Prove that `(vec(A)+2vec(B)).(2vec(A)-3vec(B))=2A^(2)+AB cos theta-6B^(2)`.
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