1.  2 + 3 3 4  1 - 6 7 11  4 - 3 8

2.  1. 4x 2 y(2x – 3y)  2. 2ac(7a+9c – 1)  3. (x-6)(x+6)  4. (2x – 5)(2x+5)  5. 8x(x – 3)(x+3)  6. (x – 3)(x 2 + 3x +9)  7. (x + 2) (x 2 – 2x + 4)  8. 2x (x + 4) (x 2 - 4x +16)  9. (x – 4) (x – 4)  10. (2x + 5) (2x + 5)  11. (3x – y) (3x – y)  12. (x – 7) (x+5)  13. (x – 4)(x+3)  14. (x – 5)(x – 4)

3.  15. (2x +3)(x – 7)  16. (4x +3)(x+1)  17. (3x + 2)(2x +5)  18. (3x – 8)(x+1)  19. (x – 2y)(x+1)  20. (a – b)(a +b)(x+y)  21. 3 (x+2)(x – 1)(x+1)

4. Adding/ Subtracting Rational Expressions

5.  Put one denominator over the other  Reduce ** If the fraction does not reduce then set it equal to itself**  Cross multiply **This is the common denominator**

6. 1. Put one denominator over the other 2. Reduce: 3. Cross multiply to find common denominator: 10 = 5. 42 21 10 42 210 for 3 and 5 10 42

7.  Put one denominator over the other:  Reduce :  Cross multiply to find common denominator: 7. 23 Does not reduce set equal to itself 7 = 7. 23 23 161

8.  Put one denominator over the other: When dealing with variables it is best to factor denominators!!  Reduce  Cross Multiply x+2 (x+2)(x-2) x+2 = 1 (x+2)(x-2) x-2 (x+2)(x-2)

9. 11 15

10.  Find common denominator:  Add fractions: x2x2 2x+3 x 2

11.  Find the common denominator:  Add the fractions: (x-2)(x+2) 7x – 2 x 2 - 4

12.  Common denominator:  Subtract Fractions: x(x – 3) x – 12 x(x – 3)

13.  Common Denominator:  Subtract Fractions: x (x – 2)(x + 2 ) - x+22 (x+2)(x-2)

14.  Common Denominator:  Add Fractions: (x+4)(x-4) 3x 2 – 12x + 2 x 2 – 16