Question

simplify the following (x^2+y^2_ z ^2)^2_(x ^2_y^2+z^2)^2

Answer 1

={(x^2) + ( y^2 - z ^2)}^2 - { ( x^2) - (y^2 -z^2) }^2
=( x^2 + y^2 - z^2 + x^2 - y^2 + z^2)×(x^2 + y^2- z^2- x^2 + y^2 - z^2)
= (2x^2)× (2y^2)
= 4x^2y^2