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Cuadrado de un binomio:
(𝒙 ± 𝒚)𝟐
= 𝒙𝟐
± 𝟐𝒙𝒚 + 𝒚𝟐
Desarrolla: 𝟐𝒂 + 𝟏 𝟐
¿Cuál es el resultado de desarrollar 𝟒𝒙𝟒
− 𝟗𝒚𝟑 𝟐
?
Ejemplo
Ejemplo
Desarrolla:
𝟏𝟎
𝟑
+
𝟑𝒎𝟒
𝟓
Ejemplo
PRODUCTOS NOTABLES
Son los resultados de ciertas multiplicaciones de polinomios de forma conocida. Estos resultados se pueden
determinar directamente sin necesidad de efectuar la propiedad distributiva de la multiplicación.
6.
7.
ACTIVIDAD EN LA CARPERA DE MATEMÁTICA PRÁCTICA
Desarrolla las siguientes expresiones:
Producto de la suma por la diferencia(Binomios conjugados):
𝒙 + 𝒚 𝒙 − 𝒚 = 𝒙𝟐 − 𝒚𝟐
Desarrolla: 𝒙 + 𝟕 𝒙 − 𝟕
Desarrolla:
𝟏𝟎
𝟑
+
𝟑𝒎𝟒
𝟓
𝟏𝟎
𝟑
−
𝟑𝒎𝟒
𝟓
Ejemplo
Ejemplo
5.
6.
Desarrolla las siguientes expresiones:
ACTIVIDAD EN LA CARPERA DE MATEMÁTICA PRÁCTICA
Producto de dos binomios de la forma: 𝒙 ± 𝒃 · 𝒙 ± 𝒅
𝒙 + 𝒃 𝒙 + 𝒅 = 𝒙𝟐 + 𝒃 + 𝒅 𝒙 + 𝒃𝒅
Desarrolla: 𝒙 + 𝟑 𝒙 + 𝟐
Ejemplo
Desarrolla: 𝒙 + 𝟑 𝒙 + 𝟐
Ejemplo
Desarrolla los siguientes productos:
ACTIVIDAD EN LA CARPERA DE MATEMÁTICA PRÁCTICA
Cubo de un binomio:
(𝒙 + 𝒚)𝟑
= 𝒙𝟑
+ 𝟑𝒙𝟐
𝒚 + 𝟑𝒙𝒚𝟐
+ 𝒚𝟑
Desarrolla el siguiente binomio 𝟐𝒘 + 𝒛 𝟑:
Ejemplo
Desarrolla el siguiente binomio (𝒙 − 𝟒)𝟑:
Ejemplo
Desarrolla los siguientes binomios al cubo:
ACTIVIDAD EN LA CARPERA DE MATEMÁTICA PRÁCTICA

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Tema productos notables

  • 1.
  • 2. Cuadrado de un binomio: (𝒙 ± 𝒚)𝟐 = 𝒙𝟐 ± 𝟐𝒙𝒚 + 𝒚𝟐 Desarrolla: 𝟐𝒂 + 𝟏 𝟐 ¿Cuál es el resultado de desarrollar 𝟒𝒙𝟒 − 𝟗𝒚𝟑 𝟐 ? Ejemplo Ejemplo Desarrolla: 𝟏𝟎 𝟑 + 𝟑𝒎𝟒 𝟓 Ejemplo PRODUCTOS NOTABLES Son los resultados de ciertas multiplicaciones de polinomios de forma conocida. Estos resultados se pueden determinar directamente sin necesidad de efectuar la propiedad distributiva de la multiplicación.
  • 3. 6. 7. ACTIVIDAD EN LA CARPERA DE MATEMÁTICA PRÁCTICA Desarrolla las siguientes expresiones:
  • 4. Producto de la suma por la diferencia(Binomios conjugados): 𝒙 + 𝒚 𝒙 − 𝒚 = 𝒙𝟐 − 𝒚𝟐 Desarrolla: 𝒙 + 𝟕 𝒙 − 𝟕 Desarrolla: 𝟏𝟎 𝟑 + 𝟑𝒎𝟒 𝟓 𝟏𝟎 𝟑 − 𝟑𝒎𝟒 𝟓 Ejemplo Ejemplo
  • 5. 5. 6. Desarrolla las siguientes expresiones: ACTIVIDAD EN LA CARPERA DE MATEMÁTICA PRÁCTICA
  • 6. Producto de dos binomios de la forma: 𝒙 ± 𝒃 · 𝒙 ± 𝒅 𝒙 + 𝒃 𝒙 + 𝒅 = 𝒙𝟐 + 𝒃 + 𝒅 𝒙 + 𝒃𝒅 Desarrolla: 𝒙 + 𝟑 𝒙 + 𝟐 Ejemplo Desarrolla: 𝒙 + 𝟑 𝒙 + 𝟐 Ejemplo
  • 7. Desarrolla los siguientes productos: ACTIVIDAD EN LA CARPERA DE MATEMÁTICA PRÁCTICA
  • 8. Cubo de un binomio: (𝒙 + 𝒚)𝟑 = 𝒙𝟑 + 𝟑𝒙𝟐 𝒚 + 𝟑𝒙𝒚𝟐 + 𝒚𝟑 Desarrolla el siguiente binomio 𝟐𝒘 + 𝒛 𝟑: Ejemplo Desarrolla el siguiente binomio (𝒙 − 𝟒)𝟑: Ejemplo
  • 9. Desarrolla los siguientes binomios al cubo: ACTIVIDAD EN LA CARPERA DE MATEMÁTICA PRÁCTICA