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CBSE Class 12 Math 2019 Delhi Set 2 Solved Paper

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Question : 6 of 9
Marks: +1, -0
Using properties of determinants, prove the following :
∣a+b+c−c−b−ca+b+c−a−b−aa+b+c∣=2(a+b)(b+c)(c+a)  ". "  \begin{vmatrix} a + b + c & -c & -b \\ -c & a + b + c & -a \\ -b & -a & a + b + c \end{vmatrix} = 2(a + b)(b + c)(c + a) \; \text{". "}\;
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