Productos notables

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Productos notables

  1. 1. PRODUCTOS NOTABLES Representación Geométrica
  2. 2. 2 2 2 ( ) 2a b a ab b+ = + + 2 2 2 ( ) 2a b a ab b− = − + Cuadrado del Binomio
  3. 3. 2 2 2 ( ) 2a b a ab b+ = + + b a b a a a b b (a + b)2 = a2 + ab + ab + b2 (a + b)2 = a2 + 2ab + b2
  4. 4. 2 2 2 ( ) 2a b a ab b− = − + a a b b a - b a - b (a – b)2 b2 (a - b)2 = a2 - [b2 + (ab – b2 ) + (ab – b2 ) ] (a - b)2 = a2 – [2ab – b2 ] (a – b2 ) = a2 – 2ab + b2 ab – b2
  5. 5. a a - b b a + b a - b a2 – b2 = (a + b) (a – b) Diferencia de Cuadrados
  6. 6. x x bb x a a xx2 ax bx ab (x + a) (x + b) = x2 + ax + bx + ab (x + a) (x + b) = x2 + (a + b)x + ab Multiplicación de binomios con un término común (x + a) (x + b) = x2 + (a + b)x + ab
  7. 7. 3 3 2 2 3 ( ) 3 3a b a a b ab b+ = + + + Cubo del Binomio 3 3 2 2 3 ( ) 3 3a b a a b ab b− = − + −
  8. 8. Cubo del Binomio (a + b)3 a b
  9. 9. ab(a-b) a a b b a - b a - bb b a - b a a2 b b(a –b)2 b(a2 -2ab + b2 ) a2 b – 2ab2 + b3 a2 b – ab2 (a – b)3 = a3 - 3a2 b + 3ab2 - b3 Cubo del Binomio (a - b)3
  10. 10. Diferencia de Cubos a3 – b3 = (a – b) (a2 – ab + b2 )
  11. 11. a a a a3
  12. 12. a - b b a - b a a a b a - b b Grafico de volumen. Cubo de binomios
  13. 13. (a – b ) a2 a3 b3 (a – b ) ab (a – b ) b2 a3 - b3 = (a – b) (a2 + ab + b2 )

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