Upcoming SlideShare
×

Expanding two brackets

4,146 views

Published on

Published in: Education, Technology
1 Like
Statistics
Notes
• Full Name
Comment goes here.

Are you sure you want to Yes No
• Be the first to comment

Views
Total views
4,146
On SlideShare
0
From Embeds
0
Number of Embeds
86
Actions
Shares
0
23
0
Likes
1
Embeds 0
No embeds

No notes for slide

Expanding two brackets

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