Mathematics
If a + b + c = 0, then the value of a3 + b3 + c3 is
0
abc
2abc
3abc
Expansions
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Answer
We know that,
a3 + b3 + c3 - 3abc = (a + b + c)(a2 + b2 + c2 - bc - ca - ab).
Substituting values we get,
a3 + b3 + c3 - 3abc = 0 × (a2 + b2 + c2 - bc - ca - ab)
a3 + b3 + c3 - 3abc = 0
a3 + b3 + c3 = 3abc.
Hence, Option 4 is the correct option.
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Consider the following two statements :
Statement 1: If a + b = 0, then a2 + b2 = 0
Statement 2: a2 + b2 = (a + b)2.
Which of the following is valid?
Both the statements are true.
Both the statements are false.
Statement 1 is true, and Statement 2 is false.
Statement 1 is false, and Statement 2 is true.