a)
w(x) = 2u(x) + v(x)
w(x) = 2*(2[tex]x^{4}[/tex]+x²-1) + ([tex]x^{4}[/tex]-2x²+2)
w(x) = 4[tex]x^{4}[/tex]+2x²-1 + [tex]x^{4}[/tex]-2x²+2
w(x) = 5[tex]x^{4}[/tex]+1
b)
w(x) = 2u(x) - 4v(x)
w(x) = 2*(2[tex]x^{4}[/tex]+x²-1) - 4*([tex]x^{4}[/tex]-2x²+2)
w(x) = 4[tex]x^{4}[/tex]+2x²-2-4[tex]x^{4}[/tex]+8x²-8
w(x) = 10x²-10
