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12-3/12-4 Multiplying/Dividing Rational Expressions

12-3/12-4 Multiplying/Dividing Rational Expressions. SWBAT: Multiply/Divide Rational Expressions Use Dimensional Analysis with Multiplication. Multiplying Rational Expressions. To multiply Rational Expressions simply think back to Multiplying Fractions.

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12-3/12-4 Multiplying/Dividing Rational Expressions

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  1. 12-3/12-4 Multiplying/Dividing Rational Expressions SWBAT: Multiply/Divide Rational Expressions Use Dimensional Analysis with Multiplication

  2. Multiplying Rational Expressions • To multiply Rational Expressions simply think back to Multiplying Fractions. • Remember we multiplied numerators and multiplied denominators.

  3. Multiplying Rational Expressions • We can also cross cancel… 5 2 1 1

  4. Multiplying Rational Expressions • We can use either method to Multiply Rational Expressions…

  5. Multiplying Rational Expressions • We can use either method to Multiply Rational Expressions… 1 1 b2 c 2 a 1 1 3 1

  6. Try Some More… • Find the Product • Find the Product

  7. Multiply Expressions with Polynomials • Sometimes you must factor quadratic expressions before you can simplify a product of rational expressions

  8. Expressions with Polynomials • Find FACTOR! Clear Common Factors! x Simplify

  9. Try Some More… • Find: • Find:

  10. Dividing Rational Expressions • Remember dividing rational numbers expressed as fractions? • Instead of dividing, we multiply by the reciprocal of the Divisor. • Use the Same Process to Divide Rational Expressions.

  11. Example 1: Dividing Expressions with Monomials • Find the Quotient: Instead of Dividing, Multiply by the reciprocal of the Divisor!

  12. Try Another: Dividing Expressions with Monomials • Find the Quotient:

  13. Example 2: Dividing Expressions with Binomials • Find the Quotient: Instead of Dividing, Multiply by the reciprocal of the Divisor!

  14. Try Another: Dividing Expressions with Binomials • Find the Quotient:

  15. Example 3: Dividing by a Binomials • Find the Quotient:

  16. Try Another: Dividing by a Binomials • Find the Quotient:

  17. Example 3: Expressions w/ Polynomials • Find the Quotient:

  18. Try Another: Expressions w/ Polynomials • Find the Quotient:

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