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Add and Subtract Rational Expressions (Day 2) notes.notebook 1 April 27, 2016 Adding and Subtracting Rational Expressions Adding and Subtracting Rational Expressions Add or Subtract. Identify any xvalues for which the expression is undefined. Adding and Subtracting Rational Expressions Add or Subtract. Identify any xvalues for which the expression is undefined. Finding the Least Common Multiple To add or subtract rational expressions with different denominators, you must write all of the expressions with a common denominator. It is easiest to use the Least Common Denominator (LCD). To do this, find the least common multiple of the denominators. Step 1: Find the prime factors of each expression Step 2: Write each prime factor the greatest number of time it appears in either expression. Simplify where possible. Finding the Least Common Multiple Find the LCM for each pair. Finding the Least Common Multiple Find the LCM for each pair.

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Page 1: Adding and Subtracting - Cabarrus County Schools€¦ · Add and Subtract Rational Expressions (Day 2) notes.notebook 1 April 27, 2016 Adding and Subtracting Rational Expressions

Add and Subtract Rational Expressions (Day 2) notes.notebook

1

April 27, 2016

Adding and Subtracting Rational Expressions

Adding and Subtracting Rational Expressions

Add or Subtract.  Identify any x­values for which the expression is undefined.

Adding and Subtracting Rational Expressions

Add or Subtract.  Identify any x­values for which the expression is undefined.

Finding the Least Common Multiple

To add or subtract rational expressions with different denominators, you must write all of the expressions with a common denominator. It is easiest to use the Least Common Denominator (LCD). To do this, find the least common multiple of the denominators.

Step 1: Find the prime factors of each expressionStep 2: Write each prime factor the greatest number of time it appears in either expression. Simplify where possible.

Finding the Least Common Multiple

Find the LCM for each pair.

Finding the Least Common Multiple

Find the LCM for each pair.

Page 2: Adding and Subtracting - Cabarrus County Schools€¦ · Add and Subtract Rational Expressions (Day 2) notes.notebook 1 April 27, 2016 Adding and Subtracting Rational Expressions

Add and Subtract Rational Expressions (Day 2) notes.notebook

2

April 27, 2016

Adding Rational Expressions

Add.  Identify any x­values for which the expression is undefined.

Adding Rational Expressions

Add.  Identify any x­values for which the expression is undefined.

Adding Rational Expressions

Add.  Identify any x­values for which the expression is undefined.

Adding Rational Expressions

Add.  Identify any x­values for which the expression is undefined.

Subtracting Rational Expressions

Subtract.  Identify any x­values for which the expression is undefined.

Subtracting Rational Expressions

Subtract.  Identify any x­values for which the expression is undefined.

Page 3: Adding and Subtracting - Cabarrus County Schools€¦ · Add and Subtract Rational Expressions (Day 2) notes.notebook 1 April 27, 2016 Adding and Subtracting Rational Expressions

Add and Subtract Rational Expressions (Day 2) notes.notebook

3

April 27, 2016

Subtracting Rational Expressions

Subtract.  Identify any x­values for which the expression is undefined.