Using properties of determinants, prove the following : \left|\begin{array}{c}{\a\end{array} , {\b} , {\c} ; {\a}- {\b} , {\b}- {\c} , {\c}- {\a} ; {\b}+ {\c} , {\c}+ {\a} , {\a}+ {\b} |}= {\a}^3+ {\b}^3+ {\c}^3-3 {\abc}

CBSE Class 12 Math 2019 Delhi Set 3 Solved Paper - Question 6

Question : 6 of 10

Marks: +1, -0

Using properties of determinants, prove the following :

{|\table {\a} , {\b} , {\c} ; {\a}- {\b} , {\b}- {\c} , {\c}- {\a} ; {\b}+ {\c} , {\c}+ {\a} , {\a}+ {\b} |}= {\a}^3+ {\b}^3+ {\c}^3-3 {\abc}

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