$\frac{(x+2)(x+1)}{(x-1)(x+1)}+\frac{(x)(x-1)}{(x+1)(x-1)}$

$\large\frac{(x^2+x+2x+2)+(x^2-x)}{x^2+x-x-1}$

$\large\frac{2x^2+2x+2}{x^2-1}$

Review the steps outlined in part (a).

Use a Giant $1$ of $\frac{2x}{2x}$ for the first fraction to create a common denominator.