Suppose you wanted to simplify the expression $(1+a_{1})+(1+a_{2})+(1+a_{3})+...+(1+a_{n})$. To do this, you could express it as $\sum_{i=1}^{n} (1+a_{i})$.
However, what if you had the expression $(1+a_{1})(1+a_{2})(1+a_{3})...(1+a_{n})$. How would you simplify this in a similar way?