# Expanding double brackets

## Lesson details

### Key learning points

1. In this lesson, we will learn more about expanding double brackets. We will use area models to visualise the process.

### Licence

This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

## Video

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## Worksheet

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## Starter quiz

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### 6 Questions

Q1.
Choose the word which best fills the gap: When we ________ double brackets every term in the first bracket must be multiplied by every term in the second bracket.
divide
express
factorise
Q2.
Cala says (x+2)(x+4) is the same as (x+4)(2+x). Is she correct?
No Cala is incorrect.
Correct answer: Yes, Cala is correct.
Q3.
Expand and simplify (x+11)(x+2)
Option 1
Option 2
Option 4
Q4.
Expand and simplify (x+3)(x+5)
Option 2
Option 3
Option 4
Q5.
Expand and simplify 2(x+3)+2(x+5)
2x² + 30x + 16
2x² + 6x + 10
4x² + 16
Q6.
Expand and simplify (x+1)²
x² + 1
Correct answer: x² + 2x + 1
x² + x + 2
x² + x + x + 1

## Exit quiz

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### 6 Questions

Q1.
Choose the word which best fills the gap: When we ________ double brackets every term in the first bracket must be multiplied by every term in the second bracket.
divide
express
factorise
Q2.
Expand and simplify (x+2)(x+5)
18x²
x² + 10
x² + 17x
Correct answer: x² + 7x + 10
Q3.
Expand and simplify (x+2)(x-5)
x² - 10
Correct answer: x² - 3x - 10
x² - 7x + 10
x² + 3x + 10
Q4.
Expand and simplify 2(x+3)-2(x+5)
-4x
2x² - 6x + 20
Q5.
A rectangle has side lengths (x+4) and (x-3). Match the expression that would represent it's area.
20x²
x² - x + 12
x² + 7x - 12
Correct answer: x² + x - 12
Q6.
Yasmin expanded (a + x + 3)(x + 2). Below are her workings out. Which expression matches the area of the rectangle she has created?
13ax²
ax² + 7ax + 6
x² + a + 5x + 8a
Correct answer: x² + ax + 5x + 2a + 6