a^3+8b^3
=a^3+(2b)^3
=(a+2b)[a^2-2ab+(2b)^2]
=(a+2b)[(a^2-2ab+b^2)+b^2]
=(a+2b)[(a-b)^2-(bi)^2]
=(a+2b)(a-b+bi)(a-b-bi)