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If a - b - caabb - c - abccc - a - bka + b + c|a - b - c2a2a2bb - c - a2b2c2cc - a - b|=k(a + b + c)3, then k is ____________. -

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Question

If `abs (("a - b - c", 2"a", 2"a"),(2"b", "b - c - a", 2"b"),(2"c", 2"c", "c - a - b")) = "k" ("a + b + c")^3,` then k is ____________.

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Solution

If `abs (("a - b - c", 2"a", 2"a"),(2"b", "b - c - a", 2"b"),(2"c", 2"c", "c - a - b")) = "k" ("a + b + c")^3,` then k is 1.

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