If xyz = 1, prove that: 1/(1 + x + y^-1) + 1/(1 + y + z^-1) + 1/(1 + z + x^-1) = 1

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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=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)
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.
x+1/y = y+1/z = z+1/x and x ≠ y ≠ z find xyz = ? x+1/y = y+1/z = z+1/x and x ≠ y ≠ z find xyz = ?
"If `y+1/z=1`and `x+1/y=1`, then what is the value of `x y z`?`-1`(b) 0 (c) `1/2`(d) 1" "If `y+1/z=1`and `x+1/y=1`, then what is the value of `x y z`?`-1`(b) 0 (c) `1/2`(d) 1"
x^1/a=y^1/b=z^1/c & xyz=1 then prove that a+b+c=0 x^1/a=y^1/b=z^1/c & xyz=1 then prove that a+b+c=0
Find (x - 1)(y - 1)(z - 1) | Olympiad Math Find (x - 1)(y - 1)(z - 1) | Olympiad Math
|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