EJERCICIOS DE CASOS DE FACTORIZACIÓN

PRESENTADO POR:
LUIS CORONADO CASTRILLÓN
LEONARDO DIAZ RODRIGUEZ
JUDITH MENDOZA ESTRADA
JASIBIS PERTUZ QUESADA
LILIANA TERAN ARGOTA

PRESENTADO A:
ELIAS CASTRO MATTOS

UNIVERSIDAD SIMÓN BOLÍVAR
FACULTAD DE INGENIERÍA
INGENIERIA INDUSTRIAL
BARRANQUILLA
2012
EJERCICIOS PARES

2. m2 + 2mx + x2
= (m + x)2 R/
4. x2 – 36
= (x + 6) (x - 6) R/
6. x2 – 3x – 4
= (x – 4) (x + 1) R/
8. 1 + x3 = (1 + x) (1 – x + x2) R/
10. x5 + m5
= (x + m) (x4 – mx3 + m2x2 + m3x + m4) R/

12. 2xy – 6y + xz – 3z
= (2xy – 6y) + (xz – 3z)
= 2y(x – 3) + z(x – 3)
= (x - 3) (2y + z) R/

14. 4x4 + 3x2y2 + y4
= 4x4 + 4x2y2 + y4 – x2y2
= (4x4 + 4x2y2 + y4) – x2y2
= (2x2 + y2)2 – (xy)2 …ver más…

16 – (2a + b)2
= 42 – (2a + b)2 = [4 + (2a + b)] [4 – (2a + b)]
= (4 +2a + b) (4 – 2a – b) R/

50. n2 + n – 42
= (n + 7) (n – 6) R/

52. 1 + 216x9 = (1 + 6x3) [(1)2 – 6x3 + (6x3)2] = (1 + 6x3) (1 – 6x3 + 36x6) R/

54. x3 – 64x4
= x3(1 – 64x) R/

56. 49a2b2 – 14ab + 1 = (7ab – 1)2 R/

58. a2 – (b + c)2
= [a + (b + c)] [a – (b + c)]
= (a + b + c) (a – b – c) R/

60. 7x2 + 31x – 20 = 7 (7x2 + 31x – 20) = (7x)2 + 31 (7x) – 140 = (7x + 35) (7x – 4) 7 7 7
7 (x + 5) (7x – 4) = Simplificando la expresión obtenemos: (x + 5) (7x – 4) R/ 7
62. ax+a-x-1 =ax+a-x-1 =ax+1-1x+1 =a-1(x+1) R/

64. b4-27b2+1 = b4-27b2+1 +25b2 -25b2 b4-2b2+1-25b2 =1-b22 -25b2 = 1+5b-b21-5b-b2 R/

66. c4-4b4 = c2+2b2c2-2b2 R/

68. a2-x2+a-x =a+xa-x+a-x =a+xa-x-1 R/

70. 6m4+7m2-20

=6m22+76m2-1206 =2m2+153m2-86 = 2m2+153m2-82 * 3 Se cancela y queda

= 2m2+53m2-4 R/

72. 2x2+2= 2x2+1 R/

74. x2+3x-18 =x+6(x-3) R/

76. x3+6x2y+12xy2+8y3
= (x-2y)3 R/

Comprobación (x-2y)3
=x3-3x2-2y+(3)(x)(-2y)2-(-2y)3
= x3—(-6x2y)+12xy2-(-8y3)
=