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evaluate: |(a-b-c,2a,2a),(2b,b-c-a,2b),(...

evaluate: `|(a-b-c,2a,2a),(2b,b-c-a,2b),(2c,2c,c-a-b)|`

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|(a-b-c,2b,2c),(2a,b-c-a,2c),(2a,2b,c-a-b)|=

|(a-b-c, 2a, 2a),(2b, b-c-a,2b),(2c,2c,c-a-b)| = (a + b + c)^(3) .

Prove that |{:(a-b-c, 2a, 2a), (2b, b-c-a, 2b), (2c, 2c, c-a-b):}|=(a+b+c)^(3)

If |(a-b-c, 2a, 2a),(2b, b-a-c, 2b),(2c, 2c, c-a-b)|=(a+b+c)(x+a+b+c)^2 then the value of x is equal to (A) -2(a+b+c) (B) a+b+c (C) -(a+b+c) (D) 2(a+b+c)