Question

Преобразуйте в многочлен (a^2-a+1)(a-2); (2p-1)(p^2-2p+1); (x^2+2xy+y^2)(x+y)

Answer 1

(a^2-a+1)(a-2)=a^3-2a^2-a^2+2a+a-2=a^3-3a^2+3a-2
(2p-1)(p^2-2p+1)=2p^3-4p^2+2p-p^2+2p-1=2p^3-5p^2+4p-1
(x^2+2xy+y^2)(x+y)=x^3+x^2*y+2x^2*y+2xy^2+y^2x+y^3=
=x^3+3x^2*y+3xy^2+y^3