IGCSEMathsCambridge (CIE)ExtendedExam QuestionsAlgebra & SequencesExpanding & Factorising Brackets

Expanding & Factorising Brackets (Cambridge (CIE) IGCSE Maths: Extended)

Exam Questions

2 hours54 questions

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Expanding & Factorising Brackets

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Expanding & Factorising Brackets

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1
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Factorise 5 p plus p t.

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2
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Expand.

a left parenthesis a cubed plus 3 right parenthesis

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3
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Factorise.

12 x plus 15

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4
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Factorise 5 y minus 6 p y.

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5
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Factorise 2 x squared minus x.

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6
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Factorise 7 k squared minus 15 k.

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7
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Factorise.

y minus 2 y squared

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8
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Expand.

7 left parenthesis x space – space 8 right parenthesis

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9
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Factorise.

w plus w cubed

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1
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Factorise completely  21 a squared space plus 28 a b.

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2
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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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3
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Expand and simplify left parenthesis x plus 3 right parenthesis left parenthesis x plus 5 right parenthesis.

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4
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Expand and simplify.

left parenthesis 3 x minus 7 right parenthesis left parenthesis 2 x plus 9 right parenthesis

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5
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Expand.

2 x left parenthesis 3 minus x squared right parenthesis

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6
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Expand and simplify.

6 left parenthesis 2 y minus 3 right parenthesis minus 5 left parenthesis y plus 1 right parenthesis

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7
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Expand the brackets and simplify.

left parenthesis 2 p plus 3 right parenthesis left parenthesis 3 p minus 2 right parenthesis

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8
Sme Calculator2 marks

Factorise completely 15 k squared m minus 20 m to the power of 4.

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1
Sme Calculator3 marks

Expand and simplify.

x left parenthesis x space plus space 2 right parenthesis left parenthesis x space – space 3 right parenthesis

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2
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Factorise 6 x squared space plus space 7 x space minus space 20.

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3
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Factorise 3 x plus 8 y minus 6 a x minus 16 a y.

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4
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x squared minus 12 x plus a equals open parentheses x plus b close parentheses squared
Find the value of a and the value of b.

   a equals .................................................

b equals .................................................

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5
Sme Calculator2 marks

Factorise.

x y minus 2 x plus 3 y minus 6

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6
Sme Calculator3 marks

Expand and simplify left parenthesis x plus 1 right parenthesis left parenthesis x plus 2 right parenthesis plus 2 x left parenthesis x minus 3 right parenthesis.

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7a
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Factorise p squared minus q squared .

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7b
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p squared minus q squared equals 7 and p minus q equals 2.

Find the value of p plus q.

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8
Sme Calculator2 marks

Complete this statement with an expression in terms of m.

 18 m cubed plus 9 m squared plus 14 m plus 7 equals left parenthesis 9 m squared plus 7 right parenthesis left parenthesis.............................. right parenthesis 

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9
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Factorise.

x y plus 5 y plus 2 x plus 10

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10
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Factorise completely.

p x plus p y minus x minus y

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11
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Factorise completely.

x y plus 2 y plus 3 x plus 6

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12
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Factorise completely.

2 a plus 4 b minus a x minus 2 b x

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1
Sme Calculator3 marks

Factorise completely  20 x squared minus 45 y squared.

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2
Sme Calculator3 marks

Expand and simplify  left parenthesis x plus 3 right parenthesis left parenthesis x minus 5 right parenthesis left parenthesis 3 x minus 1 right parenthesis.

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3
Sme Calculator2 marks

Factorise.

18 y minus 3 a y plus 12 x minus 2 a x

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4
Sme Calculator3 marks

Factorise.

3 x squared minus 48 y squared

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5
Sme Calculator2 marks

Factorise 12 left parenthesis m plus p right parenthesis plus 8 open parentheses m plus p close parentheses squared.

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