### Home > AC > Chapter 12 > Lesson 12.1.2 > Problem12-16

12-16.
1. Use your understanding of adding fractions to add the algebraic expressions below. Then simplify your solutions, if possible. Homework Help ✎

Because the denominators are the same, you can add the numerators together.

Factor 9 out of the numerator and simplify the equation by looking for factors that make 1.

9

Subtract the numerators, then try factoring.
Be sure to distribute the negative when performing the subtraction.

$\frac{(3\textit{a}^2+\textit{a}-1)-(2\textit{a}^2-\textit{a}+2)}{\textit{a}^2-2\textit{a}+1}$

Look for factors that make 1.