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Manipulating Rational Expressions

Manipulating Rational Expressions 1.5 - Solution

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We want to subtract the given 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 their product, which is Now, we can subtract the expressions by rewriting each of them using the LCD.
Rewrite using 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

We found two restrictions on the variable.