Binomische Formeln

• (a+b)(a-b) = a^2 - b^2
• (a+b)^2 = a^2 + 2ab + b^2
• (a-b)^2 = a^2 - 2ab + b^2
• Beispiele:

  1. (x-4)^2 = x^2 - 8x + 16
  2. (a+5)^2 = a^2 + 10a +25
  3. (a-6)^2 = a^2 - 12a + 36
  4. (a-4)(a+4) = a^2 - 16
  5. (8-b)(8+b) = 64 - b^2
  6. a^2 + 12a +36 = (a+6)^2
  7. a^2 - 16a + 64 = (a-8)^2
  8. 81 - b^2 = (9-b)(9+b)