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

地道にカッコ1つずつ外していっても大して手間は変わらない感じも