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PRODUCTOS NOTABLES Representación Geométrica Gimnasio Fontana Profesor:José Luis Zamora

PRODUCTOS NOTABLES Representación Geométrica Gimnasio Fontana Profesor:José Luis Zamora. Texto original: Claudio Allende Bravo. 2006. Cuadrado del Binomio. a. b. a. a. b. b. b. a. (a + b) 2 = a 2 + ab + ab + b 2 (a + b) 2 = a 2 + 2ab + b 2. b. b 2. b.

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PRODUCTOS NOTABLES Representación Geométrica Gimnasio Fontana Profesor:José Luis Zamora

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  1. PRODUCTOS NOTABLESRepresentación GeométricaGimnasio FontanaProfesor:José Luis Zamora Texto original: Claudio Allende Bravo. 2006

  2. Cuadrado del Binomio

  3. a b a a b b b a (a + b)2 = a2 + ab + ab + b2 (a + b)2 = a2 + 2ab + b2

  4. b b2 b (a - b)2 = a2 - [b2 + (ab – b2) + (ab – b2) ] (a - b)2 = a2 – [2ab – b2] (a – b2) = a2 – 2ab + b2 a a - b ab – b2 a - b a (a – b)2

  5. Diferencia de Cuadrados a - b a - b a + b a a2 – b2 = (a + b) (a – b) b

  6. Multiplicación de binomios con un término común (x + a) (x + b) = x2 + (a + b)x + ab x a ax x2 x x bx ab b b a x x2 + ax + bx + ab (x + a) (x + b) = (x + a) (x + b) = x2+ (a + b)x + ab

  7. Cubo del Binomio

  8. Cubo del Binomio (a + b)3 b a

  9. b a - b a a a b a - b b b a - b Cubo del Binomio (a - b)3 (a – b)3 = a3 - 3a2 b + 3ab2 - b3 b(a –b)2 b(a2 -2ab + b2) a2 b – 2ab2 + b3 ab(a-b) a2b a2b – ab2

  10. Diferencia de Cubos a3 – b3 = (a – b) (a2 + ab + b2)

  11. a a a3 a

  12. b a a a a - b a - b b a - b b

  13. b3 a3 (a – b ) ab a3 - b3 = (a – b) (a2 + ab + b2) (a – b ) a2 (a – b ) b2

  14. Suma de Cubos a3 + b3 = (a + b) (a2 - ab + b2)

  15. Bibliografía: www.ssccmanquehue.cl http://go.to/portalmatematico

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