The smart way to improve grades

Comprehensive & curriculum aligned

Affordable pricing from £10/month

Multiplying Out Two Brackets and Simplifying

In this worksheet, students multiply out two binomials.

'Multiplying Out Two Brackets and Simplifying' worksheet

Key stage:  KS 3

Curriculum topic:  Algebra

Curriculum subtopic:  Simplify Algebraic Expressions to Maintain Equivalence

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

In this worksheet, you must multiply out two algebraic brackets.

 

Method

When we multiply out brackets we split the first bracket and multiply each term by the second bracket, as follows:

(a + b)(c) = a(c) + b(c)

(a - b)(c) = a(c) - b(c)

 

Examples

(x + 3)(x - 6) = x(x - 6) + 3(x - 6) = x- 6x + 3x - 18
= x- 3x - 18

(2x - 1)2 = (2x - 1)(2x - 1) = 2x(2x - 1) - 1(2x - 1) = 4x- 2x - 2x + 1
= 4x- 4x + 1

Multiply out the two brackets and simplify:

(x+5)(x+6) =
x2 + 11x + 30

x2 + 30x + 11

Multiply out the two brackets and simplify:

(x+8)(x+3) = 

 

8x2 + 24x + 29

x2 + 11x + 24

Multiply out the two brackets and simplify:

(x+5)(4x+2) = 

 

4x2 + 22x + 10

8x2 + 24x + 10

Multiply out the two brackets and simplify:

(3x+1)(2x+3) = 

 

 

6x2 + 11x + 3

8x2 + 29x + 10

Multiply out the two brackets and simplify:

(4x+2)(x-6) = 

 

4x2 + 26x + 12

4x2 - 22x - 12

Multiply out the two brackets and simplify:

(2x-6)(4x+6) = 

 

8x2 - 12x - 36

8x2 + 36x - 12

Multiply out the two brackets and simplify:

(4x-4)(3x-6) = 

 

12x2 - 36x - 24

12x2 - 36x + 24

Multiply out the two brackets and simplify:

(n+5)(4n-4) =

 

4n2 + 16n - 20

4n2 + 17n - 20

Multiply out the two brackets and simplify:

(n+8)(n-8) =

 

n2 - 64

4n2 + 17n - 20

Multiply out and simplify:

(4n+1)2 =

 

16n2 + 1

16n2 + 8n + 1

  • Question 1

Multiply out the two brackets and simplify:

(x+5)(x+6) =
CORRECT ANSWER
x2 + 11x + 30
  • Question 2

Multiply out the two brackets and simplify:

(x+8)(x+3) = 

 

CORRECT ANSWER
x2 + 11x + 24
  • Question 3

Multiply out the two brackets and simplify:

(x+5)(4x+2) = 

 

CORRECT ANSWER
4x2 + 22x + 10
  • Question 4

Multiply out the two brackets and simplify:

(3x+1)(2x+3) = 

 

 

CORRECT ANSWER
6x2 + 11x + 3
  • Question 5

Multiply out the two brackets and simplify:

(4x+2)(x-6) = 

 

CORRECT ANSWER
4x2 - 22x - 12
  • Question 6

Multiply out the two brackets and simplify:

(2x-6)(4x+6) = 

 

CORRECT ANSWER
8x2 - 12x - 36
  • Question 7

Multiply out the two brackets and simplify:

(4x-4)(3x-6) = 

 

CORRECT ANSWER
12x2 - 36x + 24
  • Question 8

Multiply out the two brackets and simplify:

(n+5)(4n-4) =

 

CORRECT ANSWER
4n2 + 16n - 20
  • Question 9

Multiply out the two brackets and simplify:

(n+8)(n-8) =

 

CORRECT ANSWER
n2 - 64
  • Question 10

Multiply out and simplify:

(4n+1)2 =

 

CORRECT ANSWER
16n2 + 8n + 1
---- OR ----

Sign up for a £1 trial so you can track and measure your child's progress on this activity.

What is EdPlace?

We're your National Curriculum aligned online education content provider helping each child succeed in English, maths and science from year 1 to GCSE. With an EdPlace account you’ll be able to track and measure progress, helping each child achieve their best. We build confidence and attainment by personalising each child’s learning at a level that suits them.

Get started
laptop

Start your £1 trial today.
Subscribe from £10/month.