Question

Упростите выражение:
а) (2+n^2)*(n^4-2n^2+4)
б) (p^3+q^2)*(q^4-p^3q^2+p^6)
в) (9n^2-3nm+m^2)*(m+3n)
г) (a^4+1)*(a^8-a^4+1)

Answer 1

a) (2+n^2)*(n^4-2n^2+4)=2n^4-4n^2+8+n^6-2n^4+4n^2=n^6+8 б) (p^3+q^2)*(q^4-p^3q^2+p^6)=p^3q^4-p^6q^2+p^9+q^6-p^3q^4+p^6q^2=p^9+q^6 в) (9n^2-3mn+m^2)*(m+3n)=9n^2m+27n^3-3m^2n-9mn^2+m^3+3nm^2=27n^3+m^3 г) (a^4+1)*(a^8-a^4+1)= a^12-a^8+a^4+a^8-a^4+1=a^12+1