Question
If a + b + c = 12 and ab + bc + ca = 30, then find the value of a² + b² + c².
Solution
Since, (a+b+c)² = a² + b² + c² + 2(ab+bc+ca) So, a² + b² + c² = (12)² – 2 x 30
= 144 - 60 = 84
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