mathleaks.com mathleaks.com Start chapters home Start History history History expand_more
{{ item.displayTitle }}
navigate_next
No history yet!
Progress & Statistics equalizer Progress expand_more
Student
navigate_next
Teacher
navigate_next
Expand menu menu_open Minimize
{{ filterOption.label }}
{{ item.displayTitle }}
{{ item.subject.displayTitle }}
arrow_forward
No results
{{ searchError }}
search
menu_open home
{{ courseTrack.displayTitle }}
{{ statistics.percent }}% Sign in to view progress
{{ printedBook.courseTrack.name }} {{ printedBook.name }}
search Use offline Tools apps
Login account_circle menu_open

Manipulating Rational Expressions

Manipulating Rational Expressions 1.9 - Solution

arrow_back Return to Manipulating Rational Expressions
We want to add the given rational expressions. To do so, we will first determine the least common denominator (LCD). Since the denominators are already factored, we can immediately determine the LCD as Now, we can add the expressions by rewriting each of them using the LCD.
Rewrite each expression with the LCD
Simplify
We will now identify the restrictions from the denominator of the simplified expression and from any other denominator used. For simplicity, we will use their factored forms.
Denominator Restrictions on the denominator Restrictions on the variable
and and

We found two restrictions on the variable.