If x/y + y/x = -1 (where x,y # 0), then the value of x^3 - y^3 is
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Correct option is
C
3xyz
we know that
x
3
+y
3
+z
3
−3xyz=(x+y+z)(x
2
+y
2
+z
2
−xy−yz−zx) ...(i)
Given, (x+y+z)=0
∴from(i)
x
3
+y
3
+z
3
−3xyz=0×(x
2
+y
2
+z
2
−xy−yz−zx)
⇒x
3
+y
3
+z
3
−3xyz=0
⇒x
3
+y
3
+z
3
=3xyz
Option C is correct.
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