Rational Expressions.ppt - Chapter 2 Chapter Sections 2.1 – Simplifying Rational Expressions 2.2 – Multiplying and Dividing Rational Expressi ons

# Rational Expressions.ppt - Chapter 2 Chapter Sections 2.1...

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Chapter 2
2.1 – Simplifying Rational Expressions 2.2 – Multiplying and Dividing Rational Expressi ons 2.3 – Adding and Subtracting Rational Expressi ons with the Same Denominator and Least Common Denominators 2.4 – Adding and Subtracting Rational Expressio ns with Different Denominators 2.5 – Simplifying Complex Fractions Chapter Sections
Simplifying Rational Expressions
Simplifying a rational expression means writing it in lowest terms or simplest form. To do this, we need to use the Fundamental Principle of Rational Expressions If P , Q , and R are polynomials, and Q and R are not 0, Q P QR PR Simplifying Rational Expressions
Simplifying a Rational Expression 1) Completely factor the numerator and denominator. 2) Apply the Fundamental Principle of Rational Expressions to eliminate common factors in the numerator and denominator. Warning! Only common FACTORS can be eliminated from the numerator and denominator. Make sure any expression you eliminate is a factor. Simplifying Rational Expressions
Simplify the following expression. x x x 5 35 7 2 ) 5 ( ) 5 ( 7 x x x x 7 Simplifying Rational Expressions Example
Simplify the following expression. 20 4 3 2 2 x x x x ) 4 )( 5 ( ) 1 )( 4 ( x x x x 5 1 x x Example
Simplify the following expression. 7 7 y y 7 ) 7 ( 1 y y 1 Example
Multiplying and Dividing Rational Expressions
Multiplying Rational Expressions Multiplying rational expressions when P, Q, R, and S are polynomials with Q 0 and S 0. QS PR S R Q P
Multiplying Rational Expressions Note that after multiplying such expressions, our result may not be in simplified form, so we use the following techniques. Multiplying rational expressions 1) Factor the numerators and denominators. 2) Multiply the numerators and multiply the denominators.

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• Spring '18
• Ma'am Arceo

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