(xy-z)(xy+z)=

Solution for (xy-z)(xy+z)= equation:

Simplifying
(xy + -1z)(xy + z) = 0

Multiply (xy + -1z) * (xy + z)
(xy(xy + z) + -1z * (xy + z)) = 0
((xy * xy + z * xy) + -1z * (xy + z)) = 0

Reorder the terms:
((xyz + x2y2) + -1z * (xy + z)) = 0
((xyz + x2y2) + -1z * (xy + z)) = 0
(xyz + x2y2 + (xy * -1z + z * -1z)) = 0
(xyz + x2y2 + (-1xyz + -1z2)) = 0

Reorder the terms:
(xyz + -1xyz + x2y2 + -1z2) = 0

Combine like terms: xyz + -1xyz = 0
(0 + x2y2 + -1z2) = 0
(x2y2 + -1z2) = 0

Solving
x2y2 + -1z2 = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add 'z2' to each side of the equation.
x2y2 + -1z2 + z2 = 0 + z2

Combine like terms: -1z2 + z2 = 0
x2y2 + 0 = 0 + z2
x2y2 = 0 + z2
Remove the zero:
x2y2 = z2

Divide each side by 'y2'.
x2 = y-2z2

Simplifying
x2 = y-2z2

Take the square root of each side:
x = {-1y-1z, y-1z}