Explore Westonci.ca, the premier Q&A site that helps you find precise answers to your questions, no matter the topic. Get quick and reliable solutions to your questions from knowledgeable professionals on our comprehensive Q&A platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

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*}