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a + b + c and a^2 + b^2 + c^2 given: find (a-b)^2 + (b-c)^2 + (c-a)^2

The same question, asked 2 times: 18 Jul 2023 S2*, 18 Jul 2023 S4. Every wording below, oldest first.

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  1. Question 1

    18 Jul 2023 S2

    68
    If (a+b+c)=19(a + b + c) = 19, and (a2+b2+c2)=155(a^2 + b^2 + c^2) = 155, find the value of (a−b)2+(b−c)2+(c−a)2(a - b)^2 + (b - c)^2 + (c - a)^2.

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  2. Question 2

    18 Jul 2023 S4

    52
    If a+b+c=6a + b + c = 6 and a2+b2+c2=14a^2 + b^2 + c^2 = 14, then what is the value of (a−b)2+(b−c)2+(c−a)2(a - b)^2 + (b - c)^2 + (c - a)^2?

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