Ta có:

\(x+y+z = \frac{1}{x} + \frac{1}{y} + \frac{1}{z} + 1\)

\(xyz = 1\)

Đặt \(a = x + y + z\), \(b = xy + yz + zx\), \(c = xyz\)

Ta có:

\(a = \frac{1}{x} + \frac{1}{y} + \frac{1}{z} + 1 = \frac{xy + yz + zx + xyz}{xyz} = \frac{b + c}{c} = \frac{b}{c} + 1\)

\(b = xy + yz + zx = (x + y + z)\left(\frac{1}{x} + \frac{1}{y} + \frac{1}{z}\right) - 3 = a\left(\frac{1}{x} + \frac{1}{y} + \frac{1}{z}\right) - 3 = \frac{a^2}{c} - 3\)

\(c = xyz = 1\)

Từ đó suy ra:

\(a = \frac{b}{c} + 1 = b + 1\)

\(b = \frac{a^2}{c} - 3 = a^2 - 3\)

\(c = 1\)

Ta có:

\(Q = (x^{13} - 1)(y^{13} - 1)(z^{2023} - 1) = (x - 1)(y - 1)(z - 1)(x^{12} + x^{11} + \ldots + 1)(y^{12} + y^{11} + \ldots + 1)(z^{2022} + z^{2021} + \ldots + 1)\)

\(Q = (x - 1)(y - 1)(z - 1)\left(\frac{x^{13} - 1}{x - 1}\right)\left(\frac{y^{13} - 1}{y - 1}\right)\left(\frac{z^{2023} - 1}{z - 1}\right)\)

\(Q = (x - 1)(y - 1)(z - 1)\left(x^{12} + x^{11} + \ldots + 1\right)\left(y^{12} + y^{11} + \ldots + 1\right)\left(z^{2022} + z^{2021} + \ldots + 1\right)\)

\(Q = (x - 1)(y - 1)(z - 1)\left(\frac{x^{13} - 1}{x - 1}\right)\left(\frac{y^{13} - 1}{y - 1}\right)\left(\frac{z^{2023} - 1}{z - 1}\right)\)

\(Q = (x - 1)(y - 1)(z - 1)\left(x^{12} + x^{11} + \ldots + 1\right)\left(y^{12} + y^{11} + \ldots + 1\right)\left(z^{2022} + z^{2021} + \ldots + 1\right)\)

\(Q = (x - 1)(y - 1)(z - 1)\left(\frac{x^{13} - 1}{x - 1}\right)\left(\frac{y^{13} - 1}{y - 1}\right)\left(\frac{z^{2023} - 1}{z - 1}\right)\)

\(Q = (x - 1)(y - 1)(z - 1)\left(x^{12} + x^{11} + \ldots + 1\right)\left(y^{12} + y^{11} + \ldots + 1\right)\left(z^{2022} + z^{2021} + \ldots + 1\right)\)

\(Q = (x - 1)(y - 1)(z - 1)\left(\frac{x^{13} - 1}{x - 1}\right)\left(\frac{y^{13} - 1}{y - 1}\right)\left(\frac{z^{2023} - 1}{z - 1}\right)\)

\(Q = (x - 1)(y - 1)(z - 1)\left(x^{12} + x^{11} + \ldots + 1\right)\left(y^{12} + y^{11} + \ldots + 1\right)\left(z^{2022} + z^{2021} + \ldots + 1\right)\)

\(Q = (x - 1)(y - 1)(z - 1)\left(\frac{x^{13} - 1}{x - 1}\right)\left(\frac{y^{13} - 1}{y - 1}\right)\left(\frac{z^{2023} - 1}{z - 1}\right)\)

\(Q = (x - 1)(y - 1)(z - 1)\left(x^{12} + x^{11} + \ldots + 1\right)\left(y^{12} + y^{11} + \ldots + 1\right)\left(z^{2022} + z^{2021} + \ldots + 1\right)\)

\(Q = (x - 1)(y - 1)(z - 1)\left(\frac{x^{13} - 1}{x - 1}\right)\left(\frac{y^{13} - 1}{y - 1}\right)\left(\frac{z^{2023} - 1}{z - 1}\right)\)

\(Q = (x - 1)(y - 1)(z - 1)\left(x^{12} + x^{11} + \ldots + 1\right)\left(y^{12} + y^{11} + \ldots + 1\right)\left(z^{2022} + z^{2021} + \ldots + 1\right)\)

\(Q = (x - 1)(y - 1)(z - 1)\left(\frac{x^{13} - 1}{x - 1}\right)\left(\frac{y^{13} - 1}{y - 1}\right)\left(\frac{z^{2023} - 1}{z - 1}\right)\)

\(Q = (x - 1)(y - 1)(z - 1)\left(x^{12} + x^{11} + \ldots + 1\right)\left(y^{12} + y^{11} + \ldots + 1\right)\left(z^{2022} + z^{2021} + \ldots + 1\right)\)

\(Q = (x - 1)(y - 1)(z - 1)\left(\frac{x^{13} - 1}{x - 1}\right)\left(\frac{y^{13} - 1}{y - 1}\right)\left(\frac{z^{2023} - 1}{z - 1}\right)\)

\(Q = (x - 1)(y - 1)(z - 1)\left(x^{12} + x^{11} + \ldots + 1\right)\left(y^{12} + y^{11} + \ldots + 1\right)\left(z^{2022} + z^{2021} + \ldots + 1\right)\)

\(Q = (x - 1)(y - 1)(z - 1)\left(\frac{x^{13} - 1}{x - 1}\right)\left(\frac{y^{13} - 1}{y - 1}\right)\left(\frac{z^{2023} - 1}{z - 1}\right)\)

\(Q = (x - 1)(y - 1)(z - 1)\left(x^{12} + x^{11} + \ldots + 1\right)\left(y^{12} + y^{11} + \ldots + 1\right)\left(z^{2022} + z^{2021} + \ldots + 1\right)\)

\(Q = (x - 1)(y - 1)(z - 1)\left(\frac{x^{13} - 1}{x - 1}\right)\left(\frac{y^{13} - 1}{y - 1}\right)\left(\frac{z^{2023} - 1}{z - 1}\right)\)

\(Q = (x - 1)(y - 1)(z - 1)\left(x^{12} + x^{11} + \ldots + 1\right)\left(y^{12} + y^{11} + \ldots + 1\right)\left(z^{2022} + z^{2021} + \ldots + 1\right)\)

\(Q = (x - 1)(y - 1)(z - 1)\left(\frac{x^{13} - 1}{x - 1}\right)\left(\frac{y^{13} - 1}{y - 1}\right)\left(\frac{z^{2023} - 1}{z - 1}\right)\)

\(Q = (x - 1)(y - 1)(z - 1)\left(x^{12} + x^{11} + \ldots + 1\right)\left(y^{12} + y^{11} + \ldots + 1\right)\left(z^{2022} + z^{2021} + \ldots + 1\right)\)

\(Q = (x - 1)(y - 1)(z - 1)\left(\frac{x^{13} - 1}{x - 1}\right)\left(\frac{y^{13} - 1}{y - 1}\right)\left(\frac{z^{2023} - 1}{z - 1}\right)\)

\(Q = (x - 1)(y - 1)(z - 1)\left(x^{12} + x^{11} + \ldots + 1\right)\left(y^{12} + y^{11} + \ldots + 1\right)\left(z^{2022} + z^{2021} + \ldots + 1\right)\)

\(Q = (x - 1)(y - 1)(z - 1)\left(\frac{x^{13} - 1}{x - 1}\right)\left(\frac{y^{13} - 1}{y - 1}\right)\left(\frac{z^{2023} - 1}{z - 1}\right)\)

\(Q = (x - 1)(y - 1)(z - 1)\left(x^{12} + x^{11} + \ldots + 1\right)\left(y^{12} + y^{11} + \ldots + 1\right)\left(z^{2022} + z^{2021} + \ldots + 1\right)\)

\(Q = (x - 1)(y - 1)(z - 1)\left(\frac{x^{13} - 1}{x - 1}\right)\left(\frac{y^{13} - 1}{y - 1}\right)\left(\frac{z^{2023} - 1}{z - 1}\right)\)

\(Q = (x - 1)(y - 1)(z - 1)\left(x^{12} + x^{11} + \ldots + 1\right)\left(y^{12} + y^{11} + \ldots + 1\right)\left(z^{2022} + z^{2021} + \ldots + 1\right)\)

\(Q = (x - 1)(y - 1)(z - 1)\left(\frac{x^{13} - 1}{x - 1}\right)\left(\frac{y^{13} - 1}{y - 1}\right)\left(\frac{z^{2023} - 1}{z - 1}\right)\)

\(Q = (x - 1)(y - 1)(z - 1)\left(x^{12} + x^{11} + \ldots + 1\right)\left(y^{12} + y^{11} + \ldots + 1\right)\left(z^{2022} + z^{2021} + \ldots + 1\right)\)

\(Q = (x - 1)(y - 1)(z - 1)\left(\frac{x^{13} - 1}{x - 1}\right)\left(\frac{y^{13} - 1}{y - 1}\right)\left(\frac{z^{2023} - 1}{z - 1}\right)\)

\(Q = (x - 1)(y - 1)(z - 1)\left(x^{12} + x^{11} + \ldots + 1\right)\left(y^{12} + y^{11} + \ldots + 1\right)\left(z^{2022} + z^{2021} + \ldots + 1\right)\)

\(Q = (x - 1)(y - 1)(z - 1)\left(\frac{x^{13} - 1}{x - 1}\right)\left(\frac{y^{13} - 1}{y - 1}\right)\left(\frac{z^{2023} - 1}{z - 1}\right)\)

\(Q = (x - 1)(y - 1)(z - 1)\left(x^{12} + x^{11} + \ldots + 1\right)\left(y^{12} + y^{11} + \ldots + 1\right)\left(z^{2022} + z^{2021} + \ldots + 1\right)\)

\(Q = (x - 1)(y - 1)(z - 1)\left(\frac{x^{13} - 1}{x - 1}\right)\left(\frac{y^{13} - 1}{y - 1}\right)\left(\frac{z^{2023} - 1}{z - 1}\right)\)

\(Q = (x - 1)(y - 1)(z - 1)\left(x^{12} + x^{11} + \ldots + 1\right)\left(y^{12} + y^{11} + \ldots + 1\right)\left(z^{2022} + z^{2021} + \ldots + 1\right)\)

\(Q = (x - 1)(y - 1)(z - 1)\left(\frac{x^{13} - 1}{x - 1}\right)\left(\frac{y^{13} - 1}{y - 1}\right)\left(\frac{z^{2023} - 1}{z - 1}\right)\)

\(Q = (x - 1)(y - 1)(z - 1)\left(x^{12} + x^{11} + \ldots + 1\right)\left(y^{12} + y^{11} + \ldots + 1\right)\left(z^{2022} + z^{2021} + \ldots + 1\right)\)

\(Q = (x - 1)(y - 1)(z - 1)\left(\frac{x^{13} - 1}{x - 1}\right)\left(\frac{y^{13} - 1}{y - 1}\right)\left(\frac{z^{2023} - 1}{z - 1}\right)\)

\(Q = (x - 1)(y - 1)(z - 1)\left(x^{12} + x^{11} + \ldots + 1\right)\left(y^{12} + y^{11} + \ldots + 1\right)\left(z^{2022} + z^{2021} + \ldots + 1\right)\)

\(Q = (x - 1)(y - 1)(z - 1)\left(\frac{x^{13} - 1}{x - 1}\right)\left(\frac{y^{13} - 1}{y - 1}\right)\left(\frac{z^{2023} - 1}{z - 1}\right)\)

\(Q = (x - 1)(y - 1)(z - 1)\left(x^{12} + x^{11} + \ldots + 1\right)\left(y^{12} + y^{11} + \ldots + 1\right)\left(z^{2022} + z^{2021} + \ldots + 1\right)\)

\(Q = (x - 1)(y - 1)(z - 1)\left(\frac{x^{13} - 1}{x - 1}\right)\left(\frac{y^{13} - 1}{y - 1}\right)\left(\frac{z^{2023} - 1}{z - 1}\right)\)

\(Q = (x - 1)(y - 1)(z - 1)\left(x^{12} + x^{11} + \ldots + 1\right)\left(y^{12} + y^{11} + \ldots + 1\right)\left(z^{2022} + z^{2021} + \ldots + 1\right)\)

\(Q = (x - 1)(y - 1)(z - 1)\left(\frac{x^{13} - 1}{x - 1}\right)\left(\frac{y^{13} - 1}{y - 1}\right)\left(\frac{z^{2023} - 1}{z - 1}\right)\)

\(Q = (x - 1)(y - 1)(z - 1)\left(x^{12} + x^{11} + \ldots + 1\right)\left(y^{12} + y^{11} + \ldots + 1\right)\left(z