If AAA and BBB are n×nn \times nn×n matrices, which of the following is true in general?
det(AB)=det(A)det(B)\det(AB) = \det(A)\det(B)det(AB)=det(A)det(B)
det(A+B)=det(A)+det(B)\det(A+B) = \det(A)+\det(B)det(A+B)=det(A)+det(B)
(A+B)2=A2+2AB+B2(A+B)^2 = A^2 + 2AB + B^2(A+B)2=A2+2AB+B2
AB=BAAB = BAAB=BA