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Expansion Laws
Zero Index Laws
Distributive Laws
Simplifying Laws
Factorising Expressions
100
Expand (cd)
2
c
2
d
2
100
What is 8
0
1
100
Expand and collect like terms 3(x + 2)
3x + 6
100
Simplify 3 + 2(x + y)
3 + 2x + 2y
100
Factorise 3x + 6x
3x(1+2)
200
Expand (-7x
2
)
2
-49
4
200
What is 11
0
x 11
0
1
200
Expand and collect like terms 2(x - 4) + 2(x + 2)
4x - 12
200
Simplify 3(x + 4) + 2(x + 3)
5x + 18
200
Factorise 18x - 12x
6x(3-2)
300
Expand (9c
2
b
4
)
3
729b
12
c
6
300
What is 24 + 7
0
25
300
Expand and collect like terms 3(4 + x) + 4(5 + 2)
3x + 40
300
Simplify 7( x + 6) - 3(x + 5)
4x - 27
300
Factorise 16x
3
+ 4x
2
4x
2
(4x + 1)
400
Expand
4
(-2x)
-16x
4
400
What is (34 x 34
0
) + 16
`50
400
Expand and collect like terms 8(8 - x) + 7(6 - 2)
8x + 92
400
Simplify 8(x + 8) + 6(3 + 3)
8x + 100
400
Factorise 6x+18x
2
+3x
3
3x(2+6x+x
2
500
Expand (-7x
3
c
4
v
2
)
5
16,807x
15
c
20
v
10
500
What is (34 + 8
0
) - (7 - 2
0
) + (8 + 8)
45
500
Expand and collect like terms 3(y + 8) + 2(y + 3) + 9(2 + y)
48 + 14y
500
Simplify 3(6 - x) - 4(7 - x) + 2(5 - x)
x
500
Factorise 7x
3
- 14x
2
+ 21x
4
7x
2
(x - 2 + 3x
2
)