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if a + b + c equal to 6 and a square + b square + c square equals to 34 ,then ab+bc+ca=

Answer»

Given :

a+b+c = 6

a² + b² + c² = 34

We know,

(a+b+c)² = a² + b² + c² + 2(ab+bc+ac)

6² = 34 + 2(ab+bc+ac)

36 - 34 = 2(ab+bc+ac)

2/2 = (ab+bc+ac)

(ab+bc+ac) = 1



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