### Home > PC3 > Chapter 9 > Lesson 9.1.3 > Problem9-58

9-58.

Given $f (x) = x^2 + x + 1$, write an expression for $f \left(x + h\right) − f \left(x\right)$. Homework Help ✎

$f(x + h) − f(x) = ((x + h)^2 + (x + h) + 1) − (x^2 + x + 1)$
Simplify.