If a + b + c = 18 and a2 + b2 + c2 = 134, find the value of ab + bc + caSelect an answerA458B229C190D95
Question
Solution 1
To solve this problem, we can use the formula (a+b+c)² = a² + b² + c² + 2(ab+bc+ca).
Given that a + b + c = 18 and a² + b² + c² = 134, we can substitute these values into the formula:
(18)² = 134 + 2(ab+bc+ca) 324 = 134 + 2(ab+bc+ca)
Subtract 134 from both sides:
190 = 2(ab+bc+ca)
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