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Manipulating Rational Expressions

Manipulating Rational Expressions 1.6 - Solution

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We want to add the given rational expressions. To do so, we will start by factoring the denominators. Let's factor the first one.
Note that the second denominator is already factored. The least common denominator (LCD) is We can add the expressions by rewriting each of them using the LCD.
Rewrite each expression with the LCD
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
and and

We found three restrictions on the variable.