17exerciseset1 - MATHEMATICS 17 EXERCISE SET 1 I Factor the following expressions completely 1 a2 b2 d 9c2 d 29 10x2 7x(2y 3z 12(2y 3z)2 2 9a3 4b2 c2 a

17exerciseset1 - MATHEMATICS 17 EXERCISE SET 1 I Factor the...

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MATHEMATICS 17 EXERCISE SET 1 I. Factor the following expressions completely. 1. a 2 b 2 d - 9 c 2 d 2. 9 a 3 - 4 b 2 c 2 a 3. 25 x 2 y - 36 y 3 z 2 4. 2 ( x - 2 y ) 2 - 18 z 2 5. 64 z 2 - 4 ( 3 x - 2 y ) 2 6. 8 ( 3 x - 2 y ) 3 + 27 z 3 7. ( y + 3 z ) 3 - 64 x 3 8. 81 x 9 - 256 y 8 x 9. 625 x 4 y - 81 y 9 10. x 12 - z 8 11. 16 x 6 + 24 x 5 z + 9 x 4 z 2 12. 9 x 4 z 4 - 12 x 3 z 2 + 4 x 2 13. 25 x 7 - 70 x 6 z 3 + 49 x 5 z 6 14. 24 x 2 + 15 xz - 9 z 2 15. 10 x 2 + 35 xy - 45 y 2 16. 21 x 2 + 91 xy - 70 y 2 17. 126 x 2 + 15 xy - 75 y 2 18. 77 x 2 + 155 xy - 48 y 2 19. 84 x 2 - 23 xy - 42 y 2 20. 54 x 2 - 3 xy - 35 y 2 21. 30 x 6 - x 3 y - 99 y 2 22. 6 a 4 - 13 a 2 b 2 + 6 b 4 23. 16 b 4 - 17 b 2 c 3 + 4 c 6 24. 16 u 6 + 32 u 3 v 2 + 15 v 4 25. 30 x 6 + 37 x 3 v - 12 v 2 26. 15 ( 3 x - 5 y ) 2 + 31 ( 3 x - 5 y ) z - 24 z 2 27. 12 ( 5 x - 2 y ) 2 - ( 5 x - 2 y ) z - 20 z 2 28. 10 ( 3 x + 4 y ) 2 + 19 ( 3 x + 4 y ) z - 6 z 2 29. 10 x 2 + 7 x ( 2 y - 3 z ) - 12 ( 2 y - 3 z ) 2 30. 12 x 2 - x ( 5 y + 3 z ) - 6 ( 5 y + 3 z ) 2 31. ( x + 2 y ) ( x + y ) - 2 z ( x + y ) + 5 ( x + y ) 32. ( x + 3 y ) 2 - ( 2 z - 3 w ) 2 33. x 4 - ( 3 x - 2 ) 2 34. x 4 - ( 2 x + 1 ) 4 35. ( x + 3 z ) 3 + ( x - z ) 3 36. 6 uv - 12 ux - 5 vw + 10 wx 37. 6 rt - 2 ru - 15 st + 10 su 38. 15 h 2 - 9 hk - 35 hj + 21 kj 39. 6 r 2 - 5 rs - 18 rt + 15 st 40. 4 x 2 - 3 xy - 24 xz + 18 yz 41. x 2 - y 2 - x + y 42. a 2 - 2 ab + b 2 - ac + bc 43. x 2 + 2 xy + y 2 - xz - yz 44. x 3 - y 3 - x 2 + 2 xy - y 2 45. a 2 + 2 ab + b 2 - a 3 - b 3 46. r 2 + 6 rs + 9 s 2 - 4 t 2 47. 25 a 2 - b 2 + 4 bd - d 2 48. 9 x 2 - 4 y 2 - 12 yz - 9 z 2 49. x 2 + xy - 2 y 2 - x 3 + y 3 50. 2 c 2 + 5 cd - 3 d 2 - 8 c 3 - d 3 51. 16 x 4 + 7 x 2 + 1 52. 9 x 4 - 7
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