Learning Enhancement Team
Worksheet:
Simple Factorisation
This worksheet has questions about factorising algebraic expressions and equations.
Simple Factorisation
study guide
Model answers
to this sheet
1.
Factorise the following expressions:
(a)
2x 2  x 3
(b)
12x 2  6x 3
(c)
 2x 2  x 3
(e)
6x  12
(f)
6  12x
(g)
25 x  5y  5 (h)
(i)
ab3  ab
(j)
5a  10b  15c
2.
Factorise the following expressions:
(a)
2xy 2  x 3 y
(b)
2xy 2 z 3  6x 3 yz  4xyz
(c)
12abc 3  6a 3 b 2 c  4abc 2
(d)
 3pqr  6p 3 q 2 r 2  15 pq 2 r
3.
Factorise the following expressions:
(a)
2xy 2 4 xy

3
9
(b)
2 2 4
xy  xy
3
9
(c)
4 8

x x2
(d)
15r 2
5r

pq
pq 2
(e)
1 1

s s2
(f)
8 xz 2 4 xz 3

7y
49 y 2
This worksheet is one of a series on
mathematics produced by the Dean of
Students' Office at the University of East
Anglia.
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(d)
2x 2  4 x 3
1
2
x
1
4