Question

What are the steps they're using to simplify this?

Answer 1

Answer: Distribute, Combine like terms, factor, & simplify

Explanation:

`.\quad ((x+h)^2+9(x+h)-(x^2+9x))/(h)\\\\=(x^2+2xh+h^2+9x+9h-x^2-9x)/(h)\quad \rightarrow\ \text{Distributed}\\\\=(2xh+h^2+9h)/(h)\quad \rightarrow\ \text{Combined like terms}\\\\=(h(2x+h+9))/(h)\quad \rightarrow\ \text{Factored}\\\\=2x+h+9\quad \rightarrow\ \text{Simplified}`