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Expanding two brackets
Expanding two brackets
Expanding two brackets
Expanding two brackets
Expanding two brackets
Expanding two brackets
Expanding two brackets
Expanding two brackets
Expanding two brackets
Expanding two brackets
Expanding two brackets
Expanding two brackets
Expanding two brackets
Expanding two brackets
Expanding two brackets
Expanding two brackets
Expanding two brackets
Expanding two brackets
Expanding two brackets
Expanding two brackets
Expanding two brackets
Expanding two brackets
Expanding two brackets
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Expanding two brackets

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Transcript

  • 1. Objective Be able to expand brackets and simplify the expressions that arise
  • 2. Question (Level 6) • Expand and simplify the following expression (2a + 3)(4a + 2)
  • 3. Step 1 (2a + 3)(4a + 2) 2a +3 4a +2 Multiply the individuals components together
  • 4. 2a +3 4a 8a2 +2
  • 5. 2a +3 4a 8a2 +12a +2
  • 6. 2a +3 4a 8a2 +12a +2 +4a
  • 7. 2a +3 4a 8a2 +12a +2 +4a +6
  • 8. Step 2 • Now collect the like terms 2a +3 4a 8a2 +12a +2 +4a +6 16a
  • 9. Step 3 So we have 2a +3 4a 8a2 +12a +2 +4a +6 8a2 + 16a + 6
  • 10. This will always work! You may have to deal with negatives too, but don’t worry it’s just as easy.
  • 11. Dealing with negatives Expand and simplify the following expression (3b + 2)(4b – 6)
  • 12. Step 1 (3b + 2)(4b – 6) 3b +2 4b -6 Multiply the individuals components together
  • 13. 3b +2 4b 12b2 -6
  • 14. 3b +2 4b 12b2 +8b -6
  • 15. 3b +2 4b 12b2 +8b -6 -18b
  • 16. 3b +2 4b 12b2 +8b -6 -18b -12
  • 17. Step 2 • Now collect the like terms 2a +3 4a 12b2 +8b +2 -18b -12 -10b
  • 18. Step 3 So we have 2a +3 4a 12b2 +8b +2 -18b -12 12b2 –10b – 12
  • 19. That’s it! Just be careful when you are multiplying negative numbers and take your time when collecting like terms.
  • 20. Let’s try some questions – You only have five minutes! • Expand and simplify: 1) (2a + 7)(6a + 2) 2) (4b + 5)(3b +9) 3) (5c + 4)(8c – 2) 4) (7d + 5)(3d – 4) 5) (9y –2)(3y + 6) 6) (4p – 3)(2p – 6) 7) (8m – 2)(7m – 4)
  • 21. Time is up! Let’s check some answers
  • 22. Did you get them correct? 1) (2a + 7)(6a + 2) 2) (4b + 5)(3b +4) 3) (5c + 4)(8c – 2) 4) (7d + 5)(3d – 4) 5) (9y –2)(3y + 4) 6) (4p – 3)(2p – 6) 7) (8m – 2)(7m – 4) 12a2 + 46a +14 12b2 + 31b +20 40c2 +22c - 8 21d2 – 13d -20 27y2 +30y - 8 8p2 –30p + 18 56m2 – 46m +8
  • 23. THINK! Did you meet the objective of the lesson? Be able to expand brackets and simplify the expressions that arise

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