Question

Преобразуйте произведение в многочлен стандартного вида:1) (2m^2+3m+1)(-2m^2+3m-1) ,2) (4-y+y^2-y^5)(1-y) , 3) (y-1)(y^2+y+1)(y^6+y^3+1)

Answer 1

1) 9m^2-(2m^2+1)^2

9m^2-(4m^4+4m^2+1)

9m^2-4m^4-4m^2-1

5m^2-4m^4-1

-4m^4+5m^2-1

2) 4-4y-y+y^2+y^2-y^3-y^5+y^6

4-5y+2y^2-y^3-y^5+y^6

y^6-y^5-y^3+2y^2-5y+4

3) (y^3-1)*(y^6+y^3+1)

y^9-1