If XYZ = 1 then prove that (1+x+y^1) ^-1 + (1+y+z^1) ^-1 + (1+z+x^1) ^-1 = 1

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If xyz = 1, prove that: 1/(1 + x + y^-1) + 1/(1 + y + z^-1) + 1/(1 + z + x^-1) = 1 If xyz = 1, prove that: 1/(1 + x + y^-1) + 1/(1 + y + z^-1) + 1/(1 + z + x^-1) = 1
11. If xyz=1 then show that` (1+ x+ y^-1)^-1+ (1+y +z^-1)^-1+ (1+ z+x^-1)^- 1=1` 11. If xyz=1 then show that` (1+ x+ y^-1)^-1+ (1+y +z^-1)^-1+ (1+ z+x^-1)^- 1=1`
If xyz=1, then prove that (1+x+y^-1)^-1 + (1+y+z^-1)^-1 + (1+z+y^-1)^-1 = 1. If xyz=1, then prove that (1+x+y^-1)^-1 + (1+y+z^-1)^-1 + (1+z+y^-1)^-1 = 1.
If xyz+1=0 then prove that 1/1-Z-X^-1 + 1/1-X-Y^-1 + 1/1-Y-Z^-1 =1 (CLASS 9/10 IMPORTANT QUESTION) If xyz+1=0 then prove that 1/1-Z-X^-1 + 1/1-X-Y^-1 + 1/1-Y-Z^-1 =1 (CLASS 9/10 IMPORTANT QUESTION)
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|21|If x² = y+z , y² = z + x and z² = x + y then what is the Value of 1/x+1 +1/y+1 + 1/z+1 |21|If x² = y+z , y² = z + x and z² = x + y then what is the Value of 1/x+1 +1/y+1 + 1/z+1
Prove that (1/x + 1/y + 1/z) is greater than 3 Prove that (1/x + 1/y + 1/z) is greater than 3
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