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?
+23246 ( x2 + y2 - z2 )2 - 4x2y2 = ( x2 + y2 - z2 )2 - ( 2xy )2
difference of squares = [ ( x2 + y2 - z2 ) + ( 2xy) ] · [ ( x2 + y2 - z2 ) - ( 2xy) ]
rewrite = [ x2 + y2 - z2 + 2xy ] · [ x2 + y2 - z2 - 2xy ]
rewrite = [ x2 + 2xy + y2 - z2 ] · [ x2 - 2xy + y2 - z2 ]
rewrite = [ ( x2 + 2xy + y2 ) - ( z )2 ] · [ ( x2 - 2xy + y2 ) - ( z )2 ]
rewrite = [ ( x + y )2 - ( z )2 ] · [ ( x - y )2 - ( z )2 ]
difference of squares = [ x + y + z ] · [ x + y - z ] · [ x - y + z ] · [ x - y - z ]
