a) 2018\(^3-1\)
\(\Rightarrow\left(2018-1\right)\left(2018^2+2018+1\right)\)
\(\Rightarrow2017\left(2018^2+2018+1\right)⋮2017\)
b) 2005\(^3+5^3\)
\(\Rightarrow\left(2005+5\right)\left(2005^2-10025+25\right)\)
\(\Rightarrow2010\left(2005^2-10025+25\right)⋮2010\)