Express x⁴ + y⁴ + z⁴ - 2y²z² - 2z²x² - 2x²y² as the product of four factors.

[MorallyObtuse]

Homework Statement

Express $$x^4 + y^4 + z^4 - 2y^2z^2 - 2z^2x^2 - 2x^2y^2$$ as the product of four factors.


2. The attempt at a solution

$$(x-y-z)(-x+y-z)(-x-y+z)(x+y+z)$$

 

[Dick]

If you really just want someone to check, that works fine.

 

[MorallyObtuse]

Ok, thanks!