Find the Cantor canonical form of $\displaystyle \omega \cdot (\omega^{\omega}+1)+(\omega^{\omega}+1) \cdot \omega$.

Here the Cantor canonical form just means the Cantor normal form. I do not know how to find this form. I am stuck on this problem. I would appreciate some help. Thanks.

Link:

Ordinal arithmetic - Wikipedia, the free encyclopedia