If AAA and BBB are invertible n×nn \times nn×n matrices, which statement correctly describes (AB)−1(AB)^{-1}(AB)−1?
(AB)−1=A−1B−1(AB)^{-1} = A^{-1}B^{-1}(AB)−1=A−1B−1
(AB)−1=B−1A−1(AB)^{-1} = B^{-1}A^{-1}(AB)−1=B−1A−1
(AB)−1=(BA)−1(AB)^{-1} = (BA)^{-1}(AB)−1=(BA)−1
(AB)−1=A−1+B−1(AB)^{-1} = A^{-1} + B^{-1}(AB)−1=A−1+B−1