Home > INT3 > Chapter 11 > Lesson 11.1.3 > Problem11-32

11-32.

1. $\frac { 5 m + 18 } { m + 3 } + \frac { 4 m + 9 } { m + 3 }$

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 $1$.

$9$

1. $\frac { 3 a ^ { 2 } + a - 1 } { a ^ { 2 } - 2 a + 1 } - \frac { 2 a ^ { 2 } - a + 2 } { a ^ { 2 } - 2 a + 1 }$

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

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

Look for factors that make $1$.