Discover the answers you need at Westonci.ca, a dynamic Q&A platform where knowledge is shared freely by a community of experts. Join our platform to connect with experts ready to provide precise answers to your questions in different areas. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

If $a \neq 0$, calculate the following:\begin{align*} (a^2 + a) \cdot \frac{1}{a} - \frac{1}{a} \cdot \left(a+1-a^2\cdot \left( \frac{1}{a} \right)^2\right)^2 \end{align*}