Let \( D_{1}=\left|\begin{array}{ccc}a & b & a+b \\ c & d & c+d \\ a & b & a-b\end{array}\right|....

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Let \( D_{1}=\left|\begin{array}{ccc}a & b & a+b \\ c & d & c+d \\ a & b & a-b\end{array}\right| \) and \( D_{2}=\left|\begin{array}{ccc}a & c & a+c \\ b & d & b+d \\ a & c & a+b+c\end{array}\right| \) then the value of \( \left|\frac{D_{1}}{D_{2}}\right| \), where \( b \neq 0 \) and \( a d \neq b c \), is


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