CPM Homework Help : INT3 Problem 11-32

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

11-32.

Use your understanding of adding fractions to add the rational expressions below. Then simplify your solutions, if possible.

$\frac { 5 m + 18 } { m + 3 } + \frac { 4 m + 9 } { m + 3 }$
Hint (a):
Because the denominators are the same, you can add the numerators together.
More Help (a):
Factor $9$ out of the numerator and simplify the equation by looking for factors that make $1$ .
Answer (a):
$9$

$\frac{3a^2+a-1}{a^2-2a+1}-\frac{2a^2-a+2}{a^2-2a+1}$
Step (b):
Subtract the numerators, then try factoring.
Be sure to distribute the negative when performing the subtraction.
$\frac{\left(3a^2+a-1\right)-\left(2a^2-a+2\right)}{a^2-2a+1}$
Hint (b):
Look for factors that make $1$ .

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