Find all $b$ such that $(a+b)^3 - a^3$ divisible $2007\ (a,b \in \mathbb{Z})$
I can solve for $b$: $(a+b)^3 - a^3=2007h \rightarrow b=\sqrt[3]{a^3+2007h}-a$
Find all $b$ such that $(a+b)^3 - a^3$ divisible $2007\ (a,b \in \mathbb{Z})$
I can solve for $b$: $(a+b)^3 - a^3=2007h \rightarrow b=\sqrt[3]{a^3+2007h}-a$