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CUET
General Aptitude Test
Quantitative Reasoning
Algebra
If a2 + b2 + c2 + 27 = 6 (a + b + c)
then, \(\frac{a^3 + b^3 - c^3}{3}\) is?
3
6
9
27
a2 + b2 + c2 + 27 = 2 (3a + 3b + 3c)
We can directly conclude from ↑
a = 3, b = 3, c = 3
Hence,
\(\frac{a^3 + b^3 - c^3}{3}\) = \(\frac{27 + 27 - 27}{3}\) = 9