if a^2+b^2+c^2=20 and a+b+c =0 find ab+bc+ca
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Step-by-step explanation:
a^2 + b^2 + c^2 = 20
a+b+c = 0
Expression of (a+b+c)^2 = { a^2 + b^2 +c^2 + 2(ab+bc+ca) }
0^2 = 20 + 2(ab+bc+ca)
-20 = 2(ab+bc+ca)
ab+bc+ca = -10
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