3 3 3
(x + y + z) + (y + z - x) - (x + y - z)
$$\left(- x + y + z\right)^{3} - \left(x + y - z\right)^{3} + \left(x + y + z\right)^{3}$$
(x + y + z)^3 + (y + z - x)^3 - (x + y - z)^3
Подстановка условия
[src]
(x + y + z)^3 - (x + y - z)^3 - (x - y - z)^3 при y = -2
3 3 3
(x + y + z) - (x + y - z) - (x - y - z)
$$- \left(x - y - z\right)^{3} - \left(x + y - z\right)^{3} + \left(x + y + z\right)^{3}$$
3 3 3
(x + y + z) + (y + z - x) - (x + y - z)
$$\left(- x + y + z\right)^{3} - \left(x + y - z\right)^{3} + \left(x + y + z\right)^{3}$$
$$y = -2$$
3 3 3
(x + (-2) + z) + ((-2) + z - x) - (x + (-2) - z)
$$\left((-2) - x + z\right)^{3} - \left((-2) + x - z\right)^{3} + \left((-2) + x + z\right)^{3}$$
3 3 3
(x - 2 + z) + (-2 + z - x) - (x - 2 - z)
$$\left(- x + z - 2\right)^{3} - \left(x - z - 2\right)^{3} + \left(x + z - 2\right)^{3}$$
3 3 3
(-2 + x + z) + (-2 + z - x) - (-2 + x - z)
$$\left(- x + z - 2\right)^{3} - \left(x - z - 2\right)^{3} + \left(x + z - 2\right)^{3}$$
(-2 + x + z)^3 + (-2 + z - x)^3 - (-2 + x - z)^3
3 3 3 2 2 2 2 2 2
y - x + 3*z - 3*x*y - 3*x*z + 3*y*x + 3*y*z + 9*z*x + 9*z*y + 6*x*y*z
$$- x^{3} + 3 x^{2} y + 9 x^{2} z - 3 x y^{2} + 6 x y z - 3 x z^{2} + y^{3} + 9 y^{2} z + 3 y z^{2} + 3 z^{3}$$
y^3 - x^3 + 3*z^3 - 3*x*y^2 - 3*x*z^2 + 3*y*x^2 + 3*y*z^2 + 9*z*x^2 + 9*z*y^2 + 6*x*y*z
3 3 3 2 2 2 2 2 2
y - x + 3*z - 3*x*y - 3*x*z + 3*y*x + 3*y*z + 9*z*x + 9*z*y + 6*x*y*z
$$- x^{3} + 3 x^{2} y + 9 x^{2} z - 3 x y^{2} + 6 x y z - 3 x z^{2} + y^{3} + 9 y^{2} z + 3 y z^{2} + 3 z^{3}$$
y^3 - x^3 + 3*z^3 - 3*x*y^2 - 3*x*z^2 + 3*y*x^2 + 3*y*z^2 + 9*z*x^2 + 9*z*y^2 + 6*x*y*z