Download presentation

Presentation is loading. Please wait.

1
**Adding and Subtracting Rational Expressions:**

Multiplication: Combine right across the multiplication sign. Division: Flip the second rational and multiply

2
**Adding & Subtracting like Denominators**

1. Add or subtract the numerators by combining like terms and put over the denominator 2. Follow the steps for simplifying Example 1: π₯ π₯ 2 β4 β 2 π₯ 2 β4 1 π₯+2 π₯β2 π₯ 2 β4 π₯β2 (π₯β2)(π₯+2)

3
Example 2: 9 5βπ₯ + 4 5βπ₯ 9+4 5βπ₯ 13 5βπ₯

4
Example 3: π₯ 2 π₯ β 3π₯ π₯ π₯ 3 +27 π₯ 2 β3π₯+9 π₯ 3 +27 π₯ 2 β3π₯+9 (π₯+3)( π₯ 2 β3π₯+9)

5
**Adding & Subtracting UNLIKE Denominators**

Factor the denominators and determine the LCD Rewrite each fraction over the LCD Add or subtract the numerators by combining like terms and put over the denominator Follow the steps for simplifying

6
Example 4: 5π₯π¦ β 3π₯ 5π₯π¦ β 3 3 3π₯ β 5π¦ 5π¦ 15π₯π¦ β 15π₯π¦

7
Example 5: 64 π₯ 3 β π₯ (4π₯β3)(16 π₯ 2 +12π₯+9) β 2π₯ 2π₯ 2π₯ β (4π₯β3)(16 π₯ 2 +12π₯+9) (4π₯β3)(16 π₯ 2 +12π₯+9) 2π₯(4π₯β3)(16 π₯ 2 +12π₯+9) + 2π₯(4π₯β3)(16 π₯ 2 +12π₯+9)

8
Example 6: 15 9π₯ π₯ 15 9π₯ β 2 2 = 30 18π₯ 5 18π₯ 30 18π₯ π₯ = 35 18π₯

9
**5 6 π₯ 2 + π₯ 4 π₯ 2 β12π₯ 5 6 π₯ 2 β 2(π₯β3) 2(π₯β3) = 10(π₯β3) 12 π₯ 2 (π₯β3)**

Example 7: 5 6 π₯ 2 + π₯ 4 π₯ 2 β12π₯ 5 6 π₯ 2 β 2(π₯β3) 2(π₯β3) = 10(π₯β3) 12 π₯ 2 (π₯β3) = 3 π₯ π₯ 2 (π₯β3) β 3π₯ 3π₯ π₯ 4π₯(π₯β3)

10
10(π₯β3) 12 π₯ 2 (π₯β3) + 3 π₯ π₯ 2 (π₯β3) 10 π₯β3 +3 π₯ π₯ 2 (π₯β3)

11
**2(π₯β5) 2(π₯+5)(π₯β5) β 2(π₯+5) 2(π₯+5)(π₯β5) + 4π₯ 2(π₯+5)(π₯β5)**

Example 3: 1 π₯+5 β 2 2π₯β10 + 2π₯ π₯ 2 β25 1 π₯+5 β 2 2(π₯β5) + 2π₯ (π₯β5)(π₯+5) 2(π₯β5) 2(π₯+5)(π₯β5) β 2(π₯+5) 2(π₯+5)(π₯β5) + 2π₯β2 2(π₯+5)(π₯β5) 2(π₯β5) 2(π₯+5)(π₯β5) β 2(π₯+5) 2(π₯+5)(π₯β5) + 4π₯ 2(π₯+5)(π₯β5) 2 π₯β5 β2 π₯+5 +4π₯ 2(π₯+5)(π₯β5)

12
2π₯β10β2π₯β10+4π₯ 2(π₯+5)(π₯β5) β20+4π₯ 2(π₯+5)(π₯β5) 2 (π₯+5) 4(β5+π₯) 2(π₯+5)(π₯β5) 4(π₯β5) 2(π₯+5)(π₯β5)

Similar presentations

OK

Dear Power point User, This power point will be best viewed as a slideshow. At the top of the page click on slideshow, then click from the beginning.

Dear Power point User, This power point will be best viewed as a slideshow. At the top of the page click on slideshow, then click from the beginning.

© 2018 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google