Worked Solution #1 of 5, increasing in difficulty.

Expand the following:

\begin{align} \quad\quad\quad\quad\quad\quad\quad\quad\Large (x+1)\color{#0000FF} {(x+1)}\\ \\ &\cssId{Step1}{\Large =\color{#0000FF} { x}(x+1) \color{#0000FF} {+ 1}(x+1)}\\ \\ &\cssId{Step2}{\Large = (x^2+x) + (x+1)}\\ \\ &\cssId{Step3}{\Large = x^2 + x + x + 1}\\ \\ &\cssId{Step4}{\Large = x^2 + (x + x) + 1}\\ \\ &\cssId{Step5}{\Large = x^2+2x+1}\\ \end{align}