Algebra

Quantitative Aptitude (CDS)

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$What \: is\: value\: of \: \frac{(x - y)^{3}+(y - Z)^{3}+(Z-x)^{3}}{3(x - Z)(y - Z)(Z-x)}\: equal\: to?$

1/3

Explanation:

We know that when a+b+c = 0, then
a³ + b³+ c³= 3abc
in the above question,
(x-y) + (y-z) + (z-x) = 0
Therefore,
(x-y)³ + (y-z)³ + (z-x)³ = 3(x-y)(y-z)(z-x)
(x−y⁾³ + (y−z)³ + (z−x)³ / 3(x−y)(y−z)(z−x)=1

By: Munesh Kumari

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