Binomische Formeln

Mathematik · Klasse 8 · mittel

Klasse 8MSA-Vorbereitung
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(a+b)² = a² + 2ab + b² · (a-b)² = a² - 2ab + b² · (a+b)(a-b) = a² - b²

A Erste binomische Formel

  1. (a + 4)² = a² + 8a + 16
  2. (a + 2)² =
  3. (a + 2)² =
  4. (a + 3)² =
  5. (a + 5)² =
  6. (a + 5)² =
  7. (a + 2)² =
  8. (a + 6)² =

B Zweite binomische Formel

  1. (a - 3)² = a² - 6a + 9
  2. (a - 1)² =
  3. (a - 1)² =
  4. (a - 4)² =
  5. (a - 3)² =
  6. (a - 2)² =
  7. (a - 2)² =
  8. (a - 5)² =

A Erste Formel

  1. (a + 4)² = a² + 8a + 16
  2. (a + 2)² = a² + 4a + 4
  3. (a + 2)² = a² + 4a + 4
  4. (a + 3)² = a² + 6a + 9
  5. (a + 5)² = a² + 10a + 25
  6. (a + 5)² = a² + 10a + 25
  7. (a + 2)² = a² + 4a + 4
  8. (a + 6)² = a² + 12a + 36

B Zweite Formel

  1. (a - 3)² = a² - 6a + 9
  2. (a - 1)² = a² - 2a + 1
  3. (a - 1)² = a² - 2a + 1
  4. (a - 4)² = a² - 8a + 16
  5. (a - 3)² = a² - 6a + 9
  6. (a - 2)² = a² - 4a + 4
  7. (a - 2)² = a² - 4a + 4
  8. (a - 5)² = a² - 10a + 25

(a+b)² = a² + 2ab + b² · (a-b)² = a² - 2ab + b² · (a+b)(a-b) = a² - b²

A Erste binomische Formel

  1. (a + 2)² = a² + 4a + 4
  2. (3a + 3)² =
  3. (2a + 1)² =
  4. (a + 6)² =
  5. (a + 3)² =
  6. (2a + 9)² =
  7. (3a + 1)² =
  8. (a + 8)² =

B Zweite binomische Formel

  1. (2a - 5)² = 4a² - 20a + 25
  2. (3a - 4)² =
  3. (3a - 9)² =
  4. (2a - 7)² =
  5. (2a - 1)² =
  6. (4a - 9)² =
  7. (a - 7)² =
  8. (2a - 6)² =

C Dritte binomische Formel

  1. = a² - 49
  2. (2a + 9)(2a - 9) =
  3. (2a + 5)(2a - 5) =
  4. (2a + 5)(2a - 5) =
  5. (a + 5)(a - 5) =
  6. (4a + 4)(4a - 4) =

A Erste Formel

  1. (a + 2)² = a² + 4a + 4
  2. (3a + 3)² = 9a² + 18a + 9
  3. (2a + 1)² = 4a² + 4a + 1
  4. (a + 6)² = a² + 12a + 36
  5. (a + 3)² = a² + 6a + 9
  6. (2a + 9)² = 4a² + 36a + 81
  7. (3a + 1)² = 9a² + 6a + 1
  8. (a + 8)² = a² + 16a + 64

B Zweite Formel

  1. (2a - 5)² = 4a² - 20a + 25
  2. (3a - 4)² = 9a² - 24a + 16
  3. (3a - 9)² = 9a² - 54a + 81
  4. (2a - 7)² = 4a² - 28a + 49
  5. (2a - 1)² = 4a² - 4a + 1
  6. (4a - 9)² = 16a² - 72a + 81
  7. (a - 7)² = a² - 14a + 49
  8. (2a - 6)² = 4a² - 24a + 36

C Dritte Formel

  1. = a² - 49
  2. = 4a² - 81
  3. = 4a² - 25
  4. = 4a² - 25
  5. = a² - 25
  6. = 16a² - 16

(a+b)² = a² + 2ab + b² · (a-b)² = a² - 2ab + b² · (a+b)(a-b) = a² - b²

A Erste binomische Formel

  1. (4a + 7)² = 16a² + 56a + 49
  2. (2a + 12)² =
  3. (2a + 1)² =
  4. (4a + 7)² =
  5. (5a + 1)² =
  6. (6a + 8)² =
  7. (7a + 5)² =
  8. (6a + 11)² =

B Zweite binomische Formel

  1. (2a - 11)² = 4a² - 44a + 121
  2. (6a - 6)² =
  3. (6a - 11)² =
  4. (7a - 7)² =
  5. (6a - 3)² =
  6. (3a - 8)² =
  7. (5a - 3)² =
  8. (4a - 5)² =

C Dritte binomische Formel

  1. = 25a² - 16
  2. (2a + 6)(2a - 6) =
  3. (7a + 4)(7a - 4) =
  4. (6a + 10)(6a - 10) =
  5. (7a + 4)(7a - 4) =
  6. (5a + 8)(5a - 8) =

D Rückwärts faktorisieren

  1. a² - 49 = (a + 7)(a - 7)
  2. Faktorisiere: a² - 25
  3. Faktorisiere: a² - 16
  4. Faktorisiere: a² - 81
  5. Faktorisiere: a² - 4

A Erste Formel

  1. (4a + 7)² = 16a² + 56a + 49
  2. (2a + 12)² = 4a² + 48a + 144
  3. (2a + 1)² = 4a² + 4a + 1
  4. (4a + 7)² = 16a² + 56a + 49
  5. (5a + 1)² = 25a² + 10a + 1
  6. (6a + 8)² = 36a² + 96a + 64
  7. (7a + 5)² = 49a² + 70a + 25
  8. (6a + 11)² = 36a² + 132a + 121

B Zweite Formel

  1. (2a - 11)² = 4a² - 44a + 121
  2. (6a - 6)² = 36a² - 72a + 36
  3. (6a - 11)² = 36a² - 132a + 121
  4. (7a - 7)² = 49a² - 98a + 49
  5. (6a - 3)² = 36a² - 36a + 9
  6. (3a - 8)² = 9a² - 48a + 64
  7. (5a - 3)² = 25a² - 30a + 9
  8. (4a - 5)² = 16a² - 40a + 25

C Dritte Formel

  1. = 25a² - 16
  2. = 4a² - 36
  3. = 49a² - 16
  4. = 36a² - 100
  5. = 49a² - 16
  6. = 25a² - 64

D Faktorisieren

  1. a² - 49 = (a + 7)(a - 7)
  2. a² - 25 = (a + 5)(a - 5)
  3. a² - 16 = (a + 4)(a - 4)
  4. a² - 81 = (a + 9)(a - 9)
  5. a² - 4 = (a + 2)(a - 2)
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