1. The problem is to evaluate the expression $$\frac{n \times n + n}{n}$$ when $$n = 10$$. 2. The formula is $$\frac{n^2 + n}{n}$$ because $$n \times n = n^2$$. 3. Simplify the expression by dividing each term in the numerator by $$n$$: $$\frac{n^2}{n} + \frac{n}{n} = n + 1$$. 4. Substitute $$n = 10$$ into the simplified expression: $$10 + 1 = 11$$. 5. Therefore, the value of the expression when $$n = 10$$ is $$11$$.