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a + b + c and a^2 + b^2 + c^2 given: find ab + bc + ca

The same question, asked 2 times: 14 Jul 2023 S1*, 20 Jul 2023 S2. Every wording below, oldest first.

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  1. Question 1

    14 Jul 2023 S1

    72
    If (a+b+c)=16(a + b + c) = 16, and (a2+b2+c2)=90(a^2 + b^2 + c^2) = 90, find the value of (ab+bc+ca)(ab + bc + ca).

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  2. Question 2

    20 Jul 2023 S2

    67
    If x + y + z = 4 and x2+y2+z2=12x^2 + y^2 + z^2 = 12, then find xy + yz + xz.

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