Question
Simplify
src="https://www.ixambee.com/questionimage/Chapter/1743573126-101.JPG" alt="" />Solution
The numerator and denominator can be recognized as the formulas for the sum and product of cubes and squares of three numbers, respectively: Numerator: (a³ + b³ + c³ − 3abc)
Denominator: (a2 + b2 + c2 – ab – bc − ca) By the identity: (a³ + b³ + c³ − 3abc) = (a + b + c) (a2 + b2 + c2 – ab – bc − ca) a + b + c = 8.3 + 9.2 + 6.1 = 23.6
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