1. Do Now Factor completely. 2xy 3 – 6xy 2 – 36xy

2. Factor completely. 4v 4 w – 4v 3 w – 80v 2 w

3. Homework Solutions 7) 2(y 2 + 14y + 13) 2(y + 13)(y + 1) 8) 3bc(a 2 + 12a + 20) 3bc(a + 10)(a + 2)

4. Homework Solutions 9) 5c(d 2 + 7d + 10) 5c(d + 5)(d + 2) 10) 4mn 2 (m 2 – 2m – 3) 4mn 2 (m – 3)(m + 1)

5. Find the Pattern 1 4 9 16 25 36 … = 1 2 = 2 2 = 3 2 = 4 2 = 5 2 = 6 2 These are perfect squares! You should be able to list the first 15 perfect squares Perfect squares 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225

6. Find each product. 1)(x + 2) (x – 2) 2)(a + 6) (a – 6) Can you guess the factored form of y 2 – 49 ?

7. Difference of Squares A difference of squares is when you subtract two perfect squares. Ex: x 2 – 25 9 – 49y 2 a 2 – b 2 = (a – b)(a + b) OR (a + b)(a – b)

8. 1. Factor. x 2 – 25

9. 2. Factor. c 2 – 81

10. 3. Factor. 16x 2 – 9

11. 4. Factor. 25x 2 – 4

12. 5)Factor. -64 + 4m 2 Rewrite the problem as 4m 2 – 64 so the subtraction is in the middle! 1.prime 2.(2m – 8)(2m + 8) 3.4(-16 + m 2 ) 4.(m – 4)(m + 4)

13. 6. Factor. 81a 2 – 49b 2

14. 7. Factor. 225 – e 2

15. 8)Factor. x 2 – y 2 1.(x + y)(x + y) 2.(x – y)(x + y) 3.(x + y)(x – y) 4.(x – y)(x – y) Remember, the order doesn’t matter!

16. 9)Factor. 9c 2 + 4d 2 1.prime 2.(9c + 4d) (9c – 4d) 3.(3c – 2d)(3c + 2d) 4.(3c + 2d)(3c + 2d) You cannot factor using difference of squares because there is no subtraction!

17. Homework Worksheet pg. 547 #’s 1 – 7