If \( A \) and \( P \) are different matrices of order \( n \) satisfying \( A^{3}=P^{3} \) and ...
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If \( A \) and \( P \) are different matrices of order \( n \) satisfying \( A^{3}=P^{3} \) and \( A^{2} P=P^{2} A \) (where \( |A-P| \neq 0 \) ) then \( \left|A^{2}+P^{2}\right| \) is equal to
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