1. The problem is to simplify the expression $$\frac{n \times n + n}{n}$$ and find its value when $n=10$. 2. The formula involves algebraic simplification of fractions. Important rule: you can split the fraction as $$\frac{a+b}{c} = \frac{a}{c} + \frac{b}{c}$$ if $c \neq 0$. 3. Apply this rule: $$\frac{n \times n + n}{n} = \frac{n^2}{n} + \frac{n}{n}$$ 4. Simplify each term: $$\frac{n^2}{n} = n$$ because $n^2 = n \times n$ and dividing by $n$ leaves $n$. $$\frac{n}{n} = 1$$ since any nonzero number divided by itself is 1. 5. So the expression simplifies to: $$n + 1$$ 6. Substitute $n=10$: $$10 + 1 = 11$$ 7. Final answer: $$11$$