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Question : If a + b + c = 0, the value of (a+ b3 + c3) is:

Option 1: abc

Option 2: 2abc

Option 3: 3abc

Option 4: 0


Team Careers360 25th Jan, 2024
Answer (1)
Team Careers360 26th Jan, 2024

Correct Answer: 3abc


Solution : Given: a + b + c = 0
a 3 + b 3 + c 3 – 3abc = (a + b + c)(a 2 + b 2 + c 2 – ab – bc – ca)
⇒ a 3 + b 3 + c 3 – 3abc = (0)(a 2 + b 2 + c 2 – ab – bc – ca)
⇒ a 3 + b 3 + c 3 – 3abc = 0
⇒ a 3 + b 3 + c 3 = 3abc
Hence, the correct answer is 3abc.

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