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Adding and Subtracting Rational Expressions with Like Denominators
To add (or subtract) two or more rational expressions with the same denominators, add (or subtract) the numerators and place the result over the denominator.
If , , and represent polynomials (with ), then
and
.
Example 1:
Add .
Since the denominators are the same, just add the numerators.
Example 2:
Subtract .
Since the denominators are the same, just subtract the numerators.