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PrecalculusMediumSystems, Matrices, and Determinants

Systems, Matrices, and Determinants · Medium problem

Decompose 5(x−1)(x+2)=Ax−1+Bx+2\dfrac{5}{(x-1)(x+2)}=\dfrac{A}{x-1}+\dfrac{B}{x+2}. Find AA.