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9.4 Multiplying & Dividing Rational Expressions

9.4 Multiplying & Dividing Rational Expressions. Simplifying Rational Expressions. If the top and bottom have a common term, they can cancel out. Example #1 Simplify the Expression. Do you notice anything similar on top and bottom?. Example #2 Simplify the Expression.

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9.4 Multiplying & Dividing Rational Expressions

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  1. 9.4 Multiplying & Dividing Rational Expressions

  2. Simplifying Rational Expressions • If the top and bottom have a common term, they can cancel out.

  3. Example #1Simplify the Expression • Do you notice anything similar on top and bottom?

  4. Example #2 Simplify the Expression • Notice how the top and bottom both have “(x – 2)”. They cancel out. • Also, notice the top has “(x + 3)” and the bottom has “(x – 3),” which are different. They DO NOT cancel out.

  5. Example #3 Simplify the Expression • Notice “x2 – 4” can be factored to (x + 2)(x – 2) • Notice how the top and bottom both have “(x – 2)”. They cancel out. • Again, the top has “(x + 2)” and the bottom has “(x – 3),” so they DO NOT cancel out.

  6. Example #4 Multiply • How do you multiply fractions? Straight across • We don’t even want to multiply, we just want to cancel. • Is there anything we can cancel?

  7. Example #5 Divide • Dividing is the same as multiplying by the reciprocal. • Again, we don’t even want to multiply.

  8. Practice #1 Simplify the expression

  9. Practice #2 Simplify the expression

  10. Practice #3 Multiply or

  11. Practice #4 Divide

  12. Practice #5 Divide

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