Childhood in Calamba Doc

Practice Set # 3

Special Products and Factoring

A. Find the product of the following using special products:

1. a) 5x22x-3 b) -4ay-2x0y3+5b

2. a) x+5yx-5y b) 3x-2y3x+2y

3. a) 2x2+132x2-13 b) x2a+ybx2a-yb

4. a) x+52 b) 13x+14y2

5. a) 3-5a2 b) 2x-5y32

6. a) x+5x+3 b) x-2yx-5y

7. a) x-12x+13 b) x-4ax+6a

8. a) 2x+54x2-10x+25 b) 3x-29x2+6x+4

9. a) 4x2-7ay16x4+28ax2y+49a2y

10. a) x+33 b) 2x-5y3

11. a)2by2-ax3 b) x+34

12. a) 3x+y-25x+y-4 b) 3x+2y+53x+2y-5

13. a) x+2y+a-bx+2y-a+b b) x-y+53

B. Find the complete factors of the following, if any:

Common Factors:

14. a) 12xy+2x2y2-4xy2 b) a2b3c4-a3b4c5+2a2b4c4

15. a) 4x-2+ax-2 b) 5a3-2b+2ab3-2b-7a3-2b

Difference of Two Squares:

16. a) x2-16w2 b) 1-36y2

17. a) 16k2-m2n2 b) 5m3-20mn-3p2

18. a) p-q+7r2-2p+9q-r2 b) 625x8-y16

Sum and Difference of Two Cubes:

19. a) x3+64y3 b) 343a3-b6

20. a) 250xy4+2x4y b) x6-64y6

21. a) 27-b+23 b) 512r3s6-27t9

Trinomials with distinct factors:

22. a) 25x2-70xy+49y2 b) x2+16xy-36y2

23. a) x4-13x2+36 b) 3m4-10m2-8

24. a)9x2+42xy+49y2 b) x2n+2xnyn+y2n

25. a) 15a2+ac-28c2 b) m+p2-7m+p+10

26) 12x+y2-14a+bx+y-10a+b2

Factoring by Grouping:

27. a) 4x-12+xy-3y b) 8 + 2b – 4y - by

28. a) x3-2x2-3x+6 b) x2-4xy+4y2-3x+6y

29. a) a2x-4y+b24y-x b) 36n4+11n2+1

30. a) x6-7x3-8 b) 3x-33x+2+4x+22x-3