(x4+x3+x2+x+1)(x-1)(x5+1) =
= ( 4x + 3x + 4 + x + 1 ) * ( x - 1 ) * ( 5x + 1 ) =
= ( 8x + 5 ) * ( x - 1 ) * ( 5x + 1 ) =
= ( 8[tex]x^{2} [/tex] - 8x + 5x - 5 ) * ( 5x + 1 ) =
= 40[tex]x^{3} [/tex] + 8[tex]x^{2} [/tex] - 15[tex]x^{2} [/tex] - 3x - 25x - 5 =
= 40[tex]x^{3} [/tex] - 7[tex]x^{2} [/tex] - 28x - 5