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PRODUCTOS NOTABLESRepresentación Geométrica José Manuel Coronel Cuevas
Cuadrado de un Binomio SUMA DIFERENCIA
a b a a b b SUMA (a + b)2 = a2  + ab + ab + b2 (a + b)2 = a2 + 2ab + b2 b a
b b2 b DIFERENCIA (a – b)2 = a2 – [(a – b) b + (a – b)b +  b2] (a – b)2 = a2 – [(ab – b2) + (ab – b2) +  b2 ] (a – b)2 = a2 – ab + b2 – ab + b2 –  b2 (a – b)2 = a2 – 2ab + b2 a a - b ab – b2 a a - b (a – b)2
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

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Productos notables web 2.o

  • 1. PRODUCTOS NOTABLESRepresentación Geométrica José Manuel Coronel Cuevas
  • 2. Cuadrado de un Binomio SUMA DIFERENCIA
  • 3. a b a a b b SUMA (a + b)2 = a2 + ab + ab + b2 (a + b)2 = a2 + 2ab + b2 b a
  • 4. b b2 b DIFERENCIA (a – b)2 = a2 – [(a – b) b + (a – b)b + b2] (a – b)2 = a2 – [(ab – b2) + (ab – b2) + b2 ] (a – b)2 = a2 – ab + b2 – ab + b2 – b2 (a – b)2 = a2 – 2ab + b2 a a - b ab – b2 a a - b (a – b)2
  • 5. 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