b Use the result in a to factorize 16 a 2 16ab 4 b 2 25 c2 25 Factorize the

B use the result in a to factorize 16 a 2 16ab 4 b 2

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(b) Use the result in (a) to factorize 16 a 2 – 16 ab + 4 b 2 – 25 c 2 . 25 Factorize the following expressions. (a) 60 a 2 – 28 ab – 8 b 2 (b) –42 c 2 + 68 cd – 16 d 2
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Book 2A: Chapter 2, 4 – Identities and Factorization, More about Factorization of Polynomials 7 26 (a) Factorize 9 m 2 – 6 mn + n 2 . (b) Use the result in (a) to factorize 9 m 2 – 6 mn + n 2 + 6 mp – 2 np + p 2 . 27 Factorize the following expressions. (a) (2 x y ) 3 – ( x + y ) 3 (b) 512 a 3 – 8 b 3 28 (a) Factorize 27 m 3 – 1. (b) Use the result in (a) to factorize 27 m 3 + 9 m – 4. 29. Factorize 3 x + 6 y – 12 z . 30. Factorize - 12 pqr – 15 qr - 9 pq . 31. Factorize 5 ef 2 - 10 de 2 – 10 e 3 . 32. Factorize 12 x 2 y + 18 xy 2 + 6 x 3 y 2 . 33. Factorize ) 3 ( ) 3 ( - + - k n k m . 34. Factorize ) 1 ( 1 x w x - - + - . 35. Factorize ) )( 5 2 ( ) )( 1 4 ( x y k y x k + - - + - . 36. Factorize 2 3 ) ( 49 ) ( 7 m n n m - - - . 37. (a) Factorize 2 m – 6 n and 9 n – 3 m . (b) Hence, factorize 6 m (2 m – 6 n ) – 15 n (9 n – 3 m ) + m – 3 n . 38. Factorize 2 y 3 + 10 y 2 – 4 y - 20. 39. Factorize r 2 - 4 rs + 12 a 2 s – 3 a 2 r . 40. Factorize 3 a 2 – 10 bd + 5 ab – 6 ad . 41. Factorize a ( p – 2) 2 + 14 b – 7 bp . 42. Factorize 4 ax 2 z – 12 a 2 z + 8 ax 2 y – 24 a 2 y .
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Book 2A: Chapter 2, 4 – Identities and Factorization, More about Factorization of Polynomials 8 43. Factorize as + bs cs + ct bt - at . 44. Factorize mx – 2 my px + 2 py + 3 mz - 3 pz . 45. Factorize (3 p + q ) 2 – 4. 46. Factorize - 9( r + 1) 2 + 36 r 2 . 47. Factorize a 2 + (2 + a ) 2 – (2 – a ) 2 . 48. Factorize p 2 q 2 + 5 p – 5 q . 49. Factorize 64 x 2 – 8 x – 25 y 2 – 5 y . 50. Factorize 1 – 16 x 4 . 51. Factorize 32 a 2 b 2 – 2 a 2 b 2 +16. 52. (a) Factorize y 3 yx 2 and x 3 + x 2 y . (b) Hence, factorize x 3 + y 3 . 53. Factorize 27 bx 2 + 18 bxy + 3 by 2 . 54. Factorize – r 5 – 18 r 3 – 81 r . 55. Factorize ( y – 2) 2 – 24( y – 2) + 144. 56. Factorize 36( x y ) 2 + 12 z ( x y ) + z 2 . 57. Factorize x 2 + 10 x + 25 – 4 y 2 . 58. Factorize . 4 10 25 20 4 2 2 x y y xy x - + + - 59. (a) Factorize 4 a 2 – 28 ab + 49 b 2 . (b) Hence, factorize 4( x – 1) 2 – 28( x – 1)( y + 5) + 49( y + 5) 2 .
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  • Fall '16
  • Algebra, Polynomials, following expressions, polynomial expansion, Factorize 5x2, Polynomial factorization

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