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Factor $(x^2+y^2-z^2)^2-4x^2y^2$ as the product of four polynomials of degree $1,$ each of which has a positive coefficient of $x.$

 

Thx!

 Sep 25, 2020
 #1
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The polynomial factors as (x^2 + xy + y^2 + z^2)(x^2 - xy + y^2 + z^2).

 Sep 25, 2020
 #2
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Hint:

 

Use the difference of two squares         3 times.

 

 

Please no one expand on this.

 Sep 26, 2020

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