SlideServe
Télécharger Obtenir Pro
Menu
Accueil Pro
Préférences
ApparenceLight Aide et commentaires
© SlideServe · v2026

Multiplying three brackets

lorin avatar
lorin
11 diapositives · 677 Views · Nov 30, 2012

Multiplying three brackets. This PowerPoint presentation demonstrates how to multiply out three brackets “in your head”, without going through the step of multiplying out two of the brackets first.

Multiplying three brackets - slide 1
01 / 11Multiplying three brackets
1 / 17

Télécharger la présentation

Multiplying three brackets
Une image / un lien ci-dessous est fourni (tel quel) pour télécharger la présentation

Politique de téléchargement : le contenu du site vous est fourni TEL QUEL pour votre information et votre usage personnel ; il ne peut être vendu, concédé sous licence ni partagé sur d’autres sites sans l’accord de son auteur.Le contenu vous est fourni TEL QUEL, pour votre information et votre usage personnel uniquement. Téléchargez la présentation en cliquant sur ce lien. Lors du téléchargement, si vous ne parvenez pas à télécharger une présentation, l’éditeur a peut-être supprimé le fichier de son serveur.Pendant le téléchargement, si vous ne parvenez pas à obtenir une présentation, le fichier a peut-être été supprimé par l’éditeur.

F I N

Plus de contenu associé

Transcription de la présentation

  1. Multiplying three brackets This PowerPoint presentation demonstrates how to multiply out three brackets “in your head”, without going through the step of multiplying out two of the brackets first. This is a method for those who are confident with algebraic manipulation. If it seems too hard now, stick with a method that suits you. However, you might like to come back to this and try it again later in your course!

  2. Multiplying three brackets You need to multiply one term from each bracket, to include every possible combination. (x – 2)(2x + 3)(3x – 1)

  3. Multiplying three brackets This is really an extension of the FOIL method for two brackets. Start by multiplying the First in the first two brackets and the first in the last bracket (x – 2)(2x + 3)(3x – 1) = 6x³

  4. Multiplying three brackets Next, stay with the First in the first two brackets and multiply by the second in the last bracket (x – 2)(2x + 3)(3x – 1) = 6x³ - 2x²

  5. = 6x³ - 2x² Multiplying three brackets Next, multiply the Outer in the first two brackets, and multiply by the first term in the last bracket (x – 2)(2x + 3)(3x – 1) + 9x²

  6. = 6x³ - 2x² + 9x² Multiplying three brackets Next, multiply the Outer in the first two brackets, and multiply by the first term in the last bracket … and then by the second term in the last bracket (x – 2)(2x + 3)(3x – 1) - 3x

  7. = 6x³ - 2x² + 9x² - 3x Multiplying three brackets Next, multiply the Inner in the first two brackets, and multiply by the first term in the last bracket (x – 2)(2x + 3)(3x – 1) - 12x²

  8. = 6x³ - 2x² + 9x² - 3x - 12x² Multiplying three brackets Next, multiply the Inner in the first two brackets, and multiply by the first term in the last bracket … and then by the second term in the last bracket (x – 2)(2x + 3)(3x – 1) + 4x

  9. = 6x³ - 2x² + 9x² - 3x - 12x² + 4x Multiplying three brackets Finally, multiply the Last in the first two brackets, and multiply by the first term in the last bracket (x – 2)(2x + 3)(3x – 1) - 18x

  10. = 6x³ - 2x² + 9x² - 3x - 12x² + 4x - 18x Multiplying three brackets Next, multiply the Last in the first two brackets, and multiply by the first term in the last bracket … and then by the second term in the last bracket (x – 2)(2x + 3)(3x – 1) + 6

  11. = 6x³ - 2x² + 9x² - 3x - 12x² + 4x - 18x + 6 Multiplying three brackets Simplify by collecting like terms. (x – 2)(2x + 3)(3x – 1) = 6x³ - 5x² - 17x + 6