If a + b + c = 0, then what is the value

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Home Questions NFGFSP8RMC

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If a + b + c = 0, then what is the value of $ a^3 + b^3 + c^3 $?

Options:

abc

2abc

4abc

3abc

Correct Answer:

3abc

Explanation:

a³ + b³ + c³ - 3abc = ( a + b + c ) ( a² + b² + c² - (ab + bc + ca))

If a + b + c = 0

a³ + b³ + c³ - 3abc = ( 0 ) ( a² + b² + c² - (ab + bc + ca))

a³ + b³ + c³ - 3abc = ( 0 )

a³ + b³ + c³ = 3abc