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Question 72

Let $$A$$ and $$B$$ be two $$3 \times 3$$ real matrices such that $$(A^2 - B^2)$$ is invertible matrix. If $$A^5 = B^5$$ and $$A^3B^2 = A^2B^3$$, then the value of the determinant of the matrix $$A^3 + B^3$$ is equal to:

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