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(a + b) 2  = a 2  + ab + ab + b 2 (a + b) 2  = a 2  + 2ab + b 2 b a b a a a b b
a a a - b a - b (a – b) 2 (a - b) 2  = a 2  - [b 2  + (ab – b 2 ) + (ab – b 2 ) ] (a - b) 2  = a 2  – [2ab – b 2 ] (a – b 2 ) = a 2  – 2ab + b 2   ab – b 2   b b b 2
b a 2  – b 2  = (a + b) (a – b) a a - b a + b a - b
x x b b a x x 2 ax bx ab (x + a) (x + b) = x 2   + ax + bx + ab (x + a) (x + b) = x 2   + (a + b)x + ab
a b

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Productos notables gráficos

  • 1.
  • 2. (a + b) 2 = a 2 + ab + ab + b 2 (a + b) 2 = a 2 + 2ab + b 2 b a b a a a b b
  • 3. a a a - b a - b (a – b) 2 (a - b) 2 = a 2 - [b 2 + (ab – b 2 ) + (ab – b 2 ) ] (a - b) 2 = a 2 – [2ab – b 2 ] (a – b 2 ) = a 2 – 2ab + b 2 ab – b 2 b b b 2
  • 4. b a 2 – b 2 = (a + b) (a – b) a a - b a + b a - b
  • 5. x x b b a x x 2 ax bx ab (x + a) (x + b) = x 2 + ax + bx + ab (x + a) (x + b) = x 2 + (a + b)x + ab
  • 6. a b