Adding and Subtracting Rational Expressions Section 7.3 Adding and Subtracting Rational Expressions

Rational Expressions Adding and Subtracting Rational Expressions with Common Denominators If are rational expressions, then and To add or subtract rational expressions, add or subtract numerators and place the sum or difference over the common denominator.

Example Add:

Example Subtract:

Example Add.

Example Subtract:

Adding or Subtracting Rational Expressions with Unlike Denominators Step 1: Find the LCD of all the rational expressions. Step 2: Rewrite each rational expression as an equivalent expression whose denominator is the LCD found in Step 1. Step 3: Add or subtract numerators and write the sum or difference over the common denominator. Step 4: Simplify or write the rational expression in lowest terms.

Example Add.

Example Perform the indicated operation.

Example Subtract:

Example Subtract:

Example Subtract:

Example Add: