UPSKILL MATH PLUS

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If \((x + a)(x + b)(x + c) = x^3 + 18x^2 + 41x + 83\), then find the following:
 
(i) \(\frac{1}{a} + \frac{1}{b} +\frac{1}{c}\)
 
(ii) \(a^2 + b^2 + c^2\)
 
Answer:
 
(i) \(\frac{1}{a} + \frac{1}{b} +\frac{1}{c}\) \(=\) ii
 
(ii) \(a^2 + b^2 + c^2\) \(=\)