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Similar to Expanding two brackets
Similar to Expanding two brackets (20)
More from Patryk Mamica (19)
Expanding two brackets
- 3. Step 1
(2a + 3)(4a + 2)
2a +3
4a
+2
Multiply the
individuals
components together
- 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.
- 12. Step 1
(3b + 2)(4b – 6)
3b +2
4b
-6
Multiply the
individuals
components together
- 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)
- 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