Difference of Squares
Factorise Fully:
1
x2 - 9
2
y2 - 81
3
x2 -
4
4 - y2
5
u2 - v2
6
y2 - 1
7
4y2- 9
8
36u2 - 49v2
9
25x2 -
10
11
12
4 2
x
9
-
1
16
1
100
1
y2
y2
121
n2 - a2 – (n - a)2
n and a are both integers.
Explain why the expression
above will always be even.
Worksheet 1 Difference of Squares
Simplify Algebraic Fractions
Simplify fully:
1
(𝑥 + 2)(𝑥 + 1)
(𝑥 + 1)
2
(𝑥 + 5)
(𝑥 + 5)2
3
𝑥2 − 9
𝑥−3
4
𝑥 2 − 16
𝑥+4
5
𝑥 2 − 100
10
x
𝑥 + 10
𝑥−2
6
4𝑥 2 − 16 𝑥 − 2
x
2𝑥 + 4
2𝑥
7
9𝑥 2 − 1
𝑥−2
x
(𝑥 − 2)2
3𝑥 + 1
8
25𝑎2 − 9𝑏 2
10𝑎𝑏 − 6𝑏 2
Worksheet 2 Difference of Squares