Question

if a + b + c = 0 and a square + b square + c square = 16 find the value of ab + bc + ca

Answer 1

use the identity a+b+c whole square

Answer 2

Given, a+ b+c=0
a²+b²+c²=16
(a+b+c)²= a²+b²+c²+2(ab+bc+ca)
0²=16+2(ab +bc +ca)
2(ab+bc+ca) =16
ab+bc+ca=8

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