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If a + b + c = 9 and ab + bc + ca = 40, find a^2 + b^2 + c^2 .

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If a + b + c = 9 and ab + bc + ca = 40, find a2 + b2 + c2 .

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We know, (a + b + c)2 = a2 + b2 + c2 + 2(ab + bc + ca) 

92 = a2 + b2 + c2 + 2(40) 

81 = a2 + b2 + c2 + 80 

⇒ a2 + b2 + c2 = 1

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