if x½+y½-z½=0 then the value of (x+y-z)² is
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If x+y+z=0, then x
3
+y
3
+z
3
=3x⋅y⋅z
∴ Given Exp. =
yz
x
2
+
zx
y
2
+
xy
z
2
=
xyz
x
3
+
zxy
y
3
+
xyz
z
3
=
x⋅y⋅z
x
3
+y
3
+z
3
=
x⋅y⋅z
3x⋅y⋅z
=3
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