CIE IGCSE Maths: Core

Topic Questions

IGCSEMaths: CoreCIETopic QuestionsAlgebra & SequencesExpanding & Factorising Brackets

Syllabus Edition

First teaching 2021

Last exams 2024

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Expanding & Factorising Brackets

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Easy
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Hard
1
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Expand.

5 open parentheses x minus 3 close parentheses

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2
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Multiply out.

9 open parentheses 3 minus x close parentheses

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3
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Factorise 5 p space plus space p t.

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4
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Factorise 3 x plus 12.

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5
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Factorise 12 x plus 15

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6
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Expand.

7 left parenthesis x space – space 8 right parenthesis

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7
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Factorise.

5 x minus 15

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8
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Factorise 5 y minus 6 p y

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9
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Factorise completely.

10 space plus space 16 w

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1
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Expand the brackets and simplify.

4 open parentheses 2 m plus 3 close parentheses minus 5 open parentheses m minus 2 close parentheses

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2
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i)
Multiply out the brackets.
x open parentheses 3 minus 5 x close parentheses
[2]
ii)
Factorise fully.
5 x minus 20 x squared
[2]

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3a
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Factorise completely.

3 x squared minus 12 x y

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3b
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Expand and simplify.

open parentheses m minus 3 close parentheses open parentheses m plus 2 close parentheses

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4
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Factorise completely.

3 x squared y space minus space 5 x y

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5
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Factorise completely.

4 x y squared space minus space 6 y cubed

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6
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Factorise completely.

6 d squared e minus 9 e squared

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7
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Factorise completely.

12 t x space minus space 8 t squared

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8
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Factorise completely.

12 b plus 8 b squared

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9
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Factorise completely.

21 a squared plus 28 a b

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10
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Expand and simplify.

open parentheses x minus 5 close parentheses open parentheses x minus 7 close parentheses

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11
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Expand the brackets and simplify fully.

5 open parentheses x minus 3 close parentheses space plus space 2 open parentheses 3 x plus 1 close parentheses

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1a
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Expand.

x squared open parentheses x minus 7 close parentheses

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1b
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Factorise.

y squared plus y

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2
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Factorise 2 x squared minus x.

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3
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Factorise.

y minus 2 y squared

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4
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Expand x open parentheses 2 y plus x close parentheses

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5
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Factorise completely 18 x minus 24

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6
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Factorise completely.

8 g squared space minus space 4 g

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7
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Expand.

2 x open parentheses 3 minus x squared close parentheses

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8
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Factorise.

w plus w cubed

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9
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Expand and simplify open parentheses x plus 3 close parentheses open parentheses x plus 5 close parentheses.

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