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Linear Equation in Two Variables

If x+y+z=0, t...

Question

If x + y + z = 0, then the value of x³ + y³ + z³ is

A

9 xyz

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B

24 xyz

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C

3 xyz

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D

6 xyz

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Solution

The correct option is C
3 xyz

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Similar questions

x + y + z = 0

x^{3} + y^{3} + z^{3} = ?

x + y + z = 0

\frac{x^{3} + y^{3}}{x y z} = \frac{y^{3} + z^{3}}{x y z} = \frac{x^{3} + z^{3}}{x y z} = a

, then which of the following can be a?

Q. If x + y + z = 0, then (x + y)³+ (y + z)³ + (z + x)³ = ________.

x + y + z = 0

x^{3} + y^{3} + z^{3}

x + y + z = 0

, what can be said about

x^{3} + y^{3} + z^{3}

?

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