Question

If a+b+c=0, then the value of ((a+b)(b+c)(c+a))/abc

Answer 1

Answer:

0 is the answer. Hope it helps

Answer 2

Answer:-

→ - 1

Explanation:-

According to the question,

→ a + b + c = 0

Therefore ,

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→ a + b = - c

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→ b + c = - a

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→ c + a = - b

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Therefore ,

We have ,

$\implies \: \red{ \bf{\frac{(a + b)(b + c)(c + a)}{abc} }}$

According to the given upper Conditions,

$\implies \: \green{ \bf{ \frac{( - c)( - a)( - b)}{abc} }} \\ \\ \implies \: \pink{ \bf{\frac{ - abc}{abc} } }\\ \\ \implies \: - 1$