If x + y + z = 0, then find the value of

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Home Questions PG4DUP2656

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If x + y + z = 0, then find the value of $x^3 + y^3 + z^3 - 3xyz$.

Options:

$x^3 + y^3 + z^3$

3xyz

Correct Answer:

Explanation:

If x + y + z = 0, (Given)

then the value of $x^3 + y^3 + z^3$ = 3xyz

then the value of $x^3 + y^3 + z^3 - 3xyz$ = 3xyz - 3xyz = 0