This is LaTeX code:

[latex]
(\omega+1)\omega=\sup_{n<\omega}(\omega+1)n=\\=\sup_{n<\omega}(\omega+1+\omega+1+\ldots+\omega+1)=\\=\sup_{n<\omega}(\omega+\omega+...+\omega+1)=\\=\sup_{n<\omega}(\omega\cdot n+1)=\omega^2
[/latex]