Question

If x/y+y/x=1 (x,y is not equal to 0,then x^3+y^3 is

Answer 1

Answer:

The right answer is 0

Step-by-step explanation:

Use the above steps

Answer 2

Answer:

$x^{3}+y^{3}=0$

Step-by-step explanation:

$\frac{x}{y}+\frac{y}{x}=1$

$\implies \frac{x^{2}+y^{2}}{xy}=1$

$\implies x^{2}+y^{2}=xy\:---(1)$

$Now\\x^{3}+y^{3}=(x+y)(x^{2}-xy+y^{2})\\=(x+y)(xy-xy)$

/* From (1) */

$=0$

Therefore,

$x^{3}+y^{3}=0$

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