8.5-Add & Subtract Rational Expressions with Like Denominators

• Keep denominator• Add or subtract numerators• Simplify if possible– Factor & cancel or reduce

Examples: Add or Subtract

• 1.

• 2.

Least Common Multiples of Polynomials

• Factor each polynomial• LCM is product of– Each factor that occurs in either polynomial– Highest power of a common factor– LCM of integers (coefficients)

Examples: Find LCM

• 3. and

• 4. and

Add & Subtract with Unlike Denominators

• Find common denominator (LCM)• Multiply each numerator by missing factors of

the common denominator• Add or subtract numerators• Keep common denominator• Simplify if possible– Factor, cancel, reduce

Examples:

• 5.

• 6. +

More examples:

• 7.

• 8.