Let A=(3002)A = \begin{pmatrix} 3 & 0 \\ 0 & 2 \end{pmatrix}A=(3002) and B=(1001)B = \begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix}B=(1001). What is det(A+B)\det(A + B)det(A+B)?
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