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I. Get the product using special products formula for each of the following.
1. (x + 5)(x -5)
2. (x + 5)2
3. (x + 3)(x + 1)
4. (x – 5)3
5. (2x + 3)2
6. (3x – 1)(3x + 1)
7. (2 – 7x)2
8. (4 – x)(x + 4)
9. (2x + 4)3
10. (x + 3)(x – 7)
11. ( x + 9)(x – 9)
12. (x – 7)(x + 9)
13. (x – 3)3
14. (2x + 7)2
15. (x + y – 1)3
16. (x + 2)(x -2)
17. (x + 6)2
18. (x – 4)(x – 1)
19. (x + 4)3
20. (3x – 2)2
21. (6x – 1)(6x + 1)
22. (2 + 7x)2
23. (2 – 3x)(3x + 2)
24. (3x + 5)3
25. (x + 2)(x – 9)
26. ( x + 11)(x – 11)
27. (x – 6)(x + 8)
28. (x – 4)3
29. (2x + 6)2
30. (x – y – 1)3
31. (5x – 3y + 7z)2
32. (2x 3 – 5y4 ) ( 3×3 + 4y4)
33. (5×3 – 9y4)2
34. ( x11 + y21 ) ( x11 – y 21 )
35. (7a – 4b ) ( 49a2 + 28 ab + 16b2)
36. ( 2x – 4y + 3z2 ) 2
37. ( 2x + 1)3
38. 2ab( 12×2 + 11)2
39. ( 3y + 7)( 5x – 3)
40. 5v( 5t2 – 3) 3
II. Factor each of the following completely:
1. 4×3 + 6xy4
2. 4×2 – 8xy + 9y2
3. 4x ( a – 5) + 5y (a – 5 )
4. 25a2 – 4b2
5. 2×3 – 8x
6. 3m2 – 16mn – 35n2
7. 2×4 – 2
8. 4×2 + 20x + 25
9. 3×3 -18×2 + 27x
10. x2 y – 10 xy + 25y
11. x3 – 729
12. 80x – 125×3
13. 250×6 – 16 (y + z)3
14. 3( x + y ) – 12z2( x + y )
15. ( x – 2y)6 – 100c4
16. x3m – 216y12m
17. 81 (m + n )9 – 24p6
18. 18×3 + 33×2 – 30x
19. 3×3 + 15×2 – 42x
20. x2 +6x +9 – 9y2
21. 2cx – 2dx + 7cy – 7dy
22. 36×4 – 4x2y2 + y4
23. 20m3 + 4m2 – 45m – 9
24. 9ax + 4y2 + 12xy + 3ay
25. 4y3 – 4y – 3y2 + 3
26. p2 – 4p + 4 – q2 + 6q – 9
27. x2 – 2xy + y2 – x3 + y3
28. 64m4 + 1
29. 16×4 + 20×2 + 9
30. 36×4 – 4x2y2 + y4

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