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

Manipulating Rational Expressions

Manipulating Rational Expressions 1.19 - Solution

arrow_back Return to Manipulating Rational Expressions
We want to divide the given rational expressions. We will begin by factoring the numerators and denominators of each expression — if possible — starting with the first. Since the numerator is already factored, we will factor only the denominator.
Factor the denominator
Now, let's factor the second expression.
To divide the expressions, we will multiply the first expression by the reciprocal of the second expression. Finally, we can cancel out any common factors.
To identify the restrictions on the variable, we need to find any values of that would cause the denominator of the simplified expression, or any other denominator used, to be For simplicity, we will use their factored forms.
Denominator Restrictions on the denominator Restrictions on the variable
and and

We found three restrictions on the variable.