1)
2x³+9-2*(a+1)*(a²-a+1)=2*a³+9-2*(a³+1)=2*a³+9-2*a³-2=7.
2)
x*(x+2)*(x-2)-(x-3)*(x²+3x+9)=x*(x²-4)-(x³-27)=x³-4x-x³+27=27-4x.
3)
3*(b-1)²+(b+2)*(b²-2b+4)-(b+1)³=3b²-6b+3+b³+8-b³-3b²-3b-1=7-9b.
4)
(a-1)³-4a*(a+1)*(a-1)+3*(a-1)*(a²+a+1)=a³-3a²+3a-1-4a³+4a+3a³-3=7a-4.