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
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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
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Simplifying Rational Expressions
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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
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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
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Simplify the following expression. x x x 5 35 7 2 ) 5 ( ) 5 ( 7 x x x x 7 Simplifying Rational Expressions Example
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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
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Simplify the following expression. 7 7 y y 7 ) 7 ( 1 y y 1 Example
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Multiplying and Dividing Rational Expressions
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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
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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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