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[" N) "],[" (yiii) "]|[b+c,a,a],[b,c+a,b...

[" N) "],[" (yiii) "]|[b+c,a,a],[b,c+a,b],[c,c,a+b]|[ddots],[=4abc]

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|[b+c, a,a] , [b,c+a,b] , [c,c,a+b]|=4abc

Prove that |[b+c,a,a],[b,c+a,b],[c,c,a+b]| = 4abc

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Using properties of determinants, show that |(b+a,a,a),(b,c+a,b),(c,c,a+b)|=4abc