If a + b + c = 12 and ab + bc + ca = 22, find a 2 + b 2 + c 2 .

We know that, a 2 + b 2 + c 2 = (a + b + c) 2 - 2(ab + bc + ca) Substituting values we get, a 2 + b 2 + c 2 = (12) 2 - 2(22) = 144 - 44 = 100. Hence, a 2 + b 2 + c 2 = 100.

Mathematics

If a + b + c = 12 and ab + bc + ca = 22, find a² + b² + c².

Expansions

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Answer

We know that,

a² + b² + c² = (a + b + c)² - 2(ab + bc + ca)

Substituting values we get,

a² + b² + c² = (12)² - 2(22) = 144 - 44 = 100.

Hence, a² + b² + c² = 100.

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Mathematics

If a + b + c = 12 and ab + bc + ca = 22, find a² + b² + c².

Expansions

Answer

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