Hej!
[tex]w(x)=2x^4-x^2-3\\\\\\w(-2)=2\cdot(-2)^4-(-2)^2-3=2\cdot16-(-8)-3=\\\\=32+8-3=40-3=\boxed{37}\\\\\\w(\sqrt2-1)=2\cdot(\sqrt2-1)^4-(\sqrt2-1)^2-3=\\\\=2\cdot(\sqrt2-1)^2(\sqrt2-1)^2-(\sqrt2-1)^2-3=\\\\=2\cdot(2-2\sqrt2+1)(2-2\sqrt2+1)-(2-2\sqrt2+1)-3=\\\\=2\cdot(3-2\sqrt2)(3-2\sqrt2)-(3-2\sqrt2)-3=2\cdot(3-2\sqrt2)^2-3+2\sqrt2-3=\\\\=2\cdot(9-12\sqrt2+8)-6+2\sqrt2=18-24\sqrt2+16-6+2\sqrt2=\\\\=\boxed{28-22\sqrt2}[/tex]
