Year 9

# Expanding double brackets

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## Lesson details

### Key learning points

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

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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.

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

x² + x + 2

x² + x + x + 1

### 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

Q3.

Expand and simplify (x+2)(x-5)

x² - 10

x² - 7x + 10

x² + 3x + 10

Q4.

Expand and simplify 2(x+3)-2(x+5)

-4x

2x² - 6x + 20

None of the answers above.

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

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