1. Common factor
Revision from previous lesson
http://www.mymaths.co.uk/gold/factorising/factoriseExpressions.html
steps 1­4­7­9
1

2. Algebra
By the end of the lesson you should be able to :
• Multiply two brackets.
• Factorise expressions by grouping.
2

3. Multiplying two brackets
(x + y) ( 2 + a ) =
3

4. Expand the brackets:
( x + 3 ) ( x ­ 5 ) =
4

5. Expand the brackets:
( x ­5 ) ( x ­ 4 ) =
5

6. Expand the brackets:
( 2x ­1 ) ( 3x ­ 2 ) =
6

7. Expand the brackets:
7

8. Expand the brackets:
8

9. Factorise the expression:
a ( 2 + x ) + b ( 2 + x) =
9

10. Factorise:
2 a + a x + 2 b + b x =
10

11. Factorise:
3 (x ­ y )+ a ( x ­ y )=
11

12. Factorise:
3 x ­ 3 y + ax ­ a y =
12

13. Expand the brackets:
Expand
( x ­ 5 ) ( x + a ) = x2 + x a ­ 5 x ­ 5 a
Factorise
13

14. Factorise:
a x + b x + ay + by =
14

15. Factorise:
xy +mx + 3y +3 m =
15

16. Factorise:
2
t ­ 3 ta + t ­ 3a=
Solve worksheet "Factorisation by grouping in pairs"
16

17. 2
a + a ­ ab ­ b =
17

18. 2
3x + 6x ­ ab ­ 2ab =
18

19. 2
5y ­ 2y ­ 5ay + 2a =
19