Question

calculati sub forma de polinoame
(x2+y2-z2)2-4x2y2

Answer 1

$(x^{2} + y^{2} - z^{2} )^{2} -4 x^{2} y^{2} =( x^{2} + y^{2} - z^{2} -2xy)( x^{2} + y^{2}- z^{2}+2xy)=$
$[( x-y)^{2}- z^{2}][( x+y)^{2} - z^{2}]=$
$(x-y-z)(x-y+z)(x+y-z)(x+y+z)$