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=(a+b+c)^2-2(ab+bc+ca)
=> 20 =(0)^2-2(ab+bc+ca)
=> -2(ab+bc+ca)=20
=> ab+bc+ca = 20/-2= -10
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