[tex]a) \\A = 3x^4+5x^3-3x^2+4x-2\\B = -2x^3+4x^2-5x\\\\Suma\\A+B\\3x^4+5x^3-3x^2+4x-2-2x^3+4x^2-5x=3x^4+5x^3-2x^3-3x^2+4x^2+4x-5x-2=3x^4+3x^3+x^2-x-2\\\\Roznica\\A-B\\3x^4+5x^3-3x^2+4x-2-(-2x^3+4x^2-5x)=3x^4+5x^3-3x^2+4x-2+2x^3-4x^2+5x=3x^4+5x^3+2x^3-3x^2-4x^2+4x+5x-2=3x^4+7x^3-7x^2+9x-2[/tex]
[tex]b)\\A = 4x^4-5x^3-2x^2+1\\B = 3x^4+2x^3-x^2+2x\\\\Suma\\A+B\\4x^4-5x^3-2x^2+1+3x^4+2x^3-x^2+2x=4x^4+3x^4-5x^3+2x^3-2x^2-x^2+2x+1=7x^4-3x^3-3x^2+2x+1\\\\Roznica\\A-B\\4x^4-5x^3-2x^2+1-(3x^4+2x^3-x^2+2x)=4x^4-5x^3-2x^2+1-3x^4-2x^3+x^2-2x=4x^4-3x^4-5x^3-2x^3-2x^2+x^2-2x+1=x^4-7x^3-x^2-2x+1[/tex]