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Determinantsmedium
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If det⁡(abcd)=5\det\begin{pmatrix} a & b \\ c & d \end{pmatrix} = 5det(ac​bd​)=5, what is det⁡(abc+2ad+2b)\det\begin{pmatrix} a & b \\ c+2a & d+2b \end{pmatrix}det(ac+2a​bd+2b​)?