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)
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) (x+2)(x – 1)(x+1)
Adding/ Subtracting Rational Expressions
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**
1. Put one denominator over the other 2. Reduce: 3. Cross multiply to find common denominator: 10 = for 3 and
Put one denominator over the other: Reduce : Cross multiply to find common denominator: Does not reduce set equal to itself 7 =
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)
11 15
Find common denominator: Add fractions: x2x2 2x+3 x 2
Find the common denominator: Add the fractions: (x-2)(x+2) 7x – 2 x 2 - 4
Common denominator: Subtract Fractions: x(x – 3) x – 12 x(x – 3)
Common Denominator: Subtract Fractions: x (x – 2)(x + 2 ) - x+22 (x+2)(x-2)
Common Denominator: Add Fractions: (x+4)(x-4) 3x 2 – 12x + 2 x 2 – 16