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Squaring Binomials (1)

In this worksheet, students square binomial expressions.

'Squaring Binomials (1)' worksheet

Key stage:  KS 4

Curriculum topic:  Algebra

Curriculum subtopic:  Translate Simple Situations or Procedures into Algebraic Expressions, Formulae or Equations

Difficulty level:  

down

Worksheet Overview

QUESTION 1 of 10

A binomial expression is one that has two terms, such as 3a - 1

When we multiply two binomials, we must carefully multiply each term in one bracket with each term in the other bracket.

 

Example

Simplify the following squared expression:

(a - 1)2

 

 

Answer

First, we write the calculation using two brackets.

(a - 1) (a - 1)

 

We "explode" the first bracket and repeat the second bracket like this:

 

a (a - 1) - 1(a - 1)

 

Multiply out the brackets

a2 - a - a + 1

 

Simplify by collecting like terms

a2 - 2a + 1

Simplify the following squared expression:

 

(a + 1)2

a2+2a +1

a2+5a +2

a2+3a +1

a2+2a +2

Simplify the following squared expression:

 

(a - 2)2

a2+2a +4

2a2+4a +6

a2+4a +2

a2-4a +4

Simplify the following squared expression:

 

(a - 3)2

a2+9a +6

a2-6a +9

3a2+6a +9

3a2+6a -9

Simplify the following squared expression:

 

(a + 2)2

a2+4a +4

a2+3a -4

4a2+a -2

a2+4a +2

Simplify the following squared expression:

 

(a + 3)2

a2+9a +6

3a2+9a -6

3a2+6a +6

a2+6a +9

Simplify the following squared expression:

 

(a - 5)2

5a2+10a -5

5a2-a -25

4a2+5a -25

a2-10a +25

Simplify the following squared expression:

 

(a - 10)2

10a2-100a

a2+20a -100

a2-20a +100

a2+10a -20

Simplify the following squared expression:

 

(a + 8)2

8a2+64

a2-8a -8

a2+16a +64

a2+64

Simplify the following squared expression:

 

(a - 7)2

a2-14a +49

a2-49

a2+49

a2-14a -49

Simplify the following squared expression:

 

(a - 11)2

11a2+11a -11

a2-121a +22

a2-11a +121

a2-22a +121

  • Question 1

Simplify the following squared expression:

 

(a + 1)2

CORRECT ANSWER
a2+2a +1
  • Question 2

Simplify the following squared expression:

 

(a - 2)2

CORRECT ANSWER
a2-4a +4
  • Question 3

Simplify the following squared expression:

 

(a - 3)2

CORRECT ANSWER
a2-6a +9
  • Question 4

Simplify the following squared expression:

 

(a + 2)2

CORRECT ANSWER
a2+4a +4
  • Question 5

Simplify the following squared expression:

 

(a + 3)2

CORRECT ANSWER
a2+6a +9
  • Question 6

Simplify the following squared expression:

 

(a - 5)2

CORRECT ANSWER
a2-10a +25
  • Question 7

Simplify the following squared expression:

 

(a - 10)2

CORRECT ANSWER
a2-20a +100
  • Question 8

Simplify the following squared expression:

 

(a + 8)2

CORRECT ANSWER
a2+16a +64
  • Question 9

Simplify the following squared expression:

 

(a - 7)2

CORRECT ANSWER
a2-14a +49
  • Question 10

Simplify the following squared expression:

 

(a - 11)2

CORRECT ANSWER
a2-22a +121
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