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Expansion Laws
Zero Index Law
Distributive Law
Simplifying Expressions
Factorising Expressions
100
Expand: ab
4
ab x ab x ab x ab
100
13
0
+ 12
13
100
Simplify: 5 (x + 3)
5x + 15
100
Simplify: 3 + 7 (x + 2)
7x + 17
100
Factorise: 14+21
7 (2+3)
200
Expand: (5ab)
3
125a
3
b
3
200
Simplify: 7
0
- 5
0
0
200
Simplify: x (5 - 6)
5x - 6x
200
Simplify: a
2
x 3 x m
3
x 4
am
5
x 12
200
Factorise: 5x + 5y
5 (x + y)
300
Expand: (2a
4
b
2
)
4
64a
8
b
8
300
Simplify: 5
0
x 3
3
300
Simplify: y (x + a)
xy + ay
300
Simplify: 6
8
/ 6
4
6
4
300
Factorise: 5y + 3y + 3y + 21
y (5 + 3) +3 (y +7)
400
Expand: a
3
b
5
a x a x a + b x b x b x b x b
400
98 x 5
0
98
400
Simplify: a (a + a
2
)
a
2
+ a
3
400
Simplify: 6a - 5 (y
2
+ a)
11a - 5y
2
400
Factorise: 6y - 30 +6a + 6y
6 (y - 5) +6 (a + y)
500
Expand: (6a
3
m
5
)
2
36a
6
m
25
500
1
0
x 1
0
1
500
Simplify: 5 (am + am) - 4
0
(e + 6)
10am - e + 2
500
Simplify: 4 ( y + 2) +2 (4 + y)
6y +16
500
4 + 2y -6y + 24
2 (2+y) -6 (y- 4)