If x = a (b - c), y = b (c - a), z = c (a - b), then the value of $${\left( {\frac{x}{a}} \right)^3}$$ $$ + {\left( {\frac{y}{b}} \right)^3}$$ $$ + {\left( {\frac{z}{c}} \right)^3}$$ is : Options: A . &nbsp$$\frac{2xyz}{abc}$$ B . &nbsp$$\frac{xyz}{abc}$$ C . &nbsp0 D . &nbsp$$\frac{3xyz}{abc}$$

If x = a (b - c), y = b (c - a), z = c (a - b), then the value of $${\left( {\fr

Question

If x = a (b - c), y = b (c - a), z = c (a - b), then the value of $${\left( {\frac{x}{a}} \right)^3}$$ $$ + {\left( {\frac{y}{b}} \right)^3}$$ $$ + {\left( {\frac{z}{c}} \right)^3}$$ is :

Options:

A . $$\frac{2xyz}{abc}$$

B . $$\frac{xyz}{abc}$$

C . 0

D . $$\frac{3xyz}{abc}$$

Answer: Option D

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