1. Prove the following statement: For all $a, b, c \in \mathbb{Z}$, if $a|b$ or $a|c$, then $a|(b^3c^3)$.\nAssume: Put your assumptions go here. You may need to add additional assumes\nand WTS's based on the formatting of your proof.\nWTS: Write down what you want to show.\nProof goes here.