# Difference of two squares

In this lesson, we will learn about the difference of two squares. We will investigate the pattern of results when considering multiplying out brackets of the general form (x+a)(x-a).

Quiz:

# Intro quiz - Recap from previous lesson

Before we start this lesson, let’s see what you can remember from this topic. Here’s a quick quiz!

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.

1/6

Q2.Expand and simplify (x+2)(x+5)

2/6

Q3.Expand and simplify (x+2)(x-5)

3/6

Q4.Expand and simplify 2(x+3)-2(x+5)

4/6

Q5.A rectangle has side lengths (x+4) and (x-3). Match the expression that would represent it's area.

5/6

Q6.Yasmin expanded (a + x + 3)(x + 2). Below are her workings out. Which expression matches the area of the rectangle she has created?

6/6

Quiz:

# Intro quiz - Recap from previous lesson

Before we start this lesson, let’s see what you can remember from this topic. Here’s a quick quiz!

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.

1/6

Q2.Expand and simplify (x+2)(x+5)

2/6

Q3.Expand and simplify (x+2)(x-5)

3/6

Q4.Expand and simplify 2(x+3)-2(x+5)

4/6

Q5.A rectangle has side lengths (x+4) and (x-3). Match the expression that would represent it's area.

5/6

Q6.Yasmin expanded (a + x + 3)(x + 2). Below are her workings out. Which expression matches the area of the rectangle she has created?

6/6

# Video

Click on the play button to start the video. If your teacher asks you to pause the video and look at the worksheet you should:

• Click "Close Video"
• Click "Next" to view the activity

Your video will re-appear on the next page, and will stay paused in the right place.

# Worksheet

These slides will take you through some tasks for the lesson. If you need to re-play the video, click the ‘Resume Video’ icon. If you are asked to add answers to the slides, first download or print out the worksheet. Once you have finished all the tasks, click ‘Next’ below.

Quiz:

# Difference of Two Squares Quiz

Have a go at the questions below to show off what you know!

Q1.Which expression is equivalent to a² - b² ?

1/6

Q2.Match the expression equivalent to (x+4)(x-4).

2/6

Q3.Match the expression equivalent to (x+9)(x-3).

3/6

Q4.Which calculation would work out 64² - 4² ?

4/6

Q5.Match the expression equivalent to (x+25)-(x-25).

5/6

Q6.Match the expression equivalent to (73+x)(73-x).

6/6

Quiz:

# Difference of Two Squares Quiz

Have a go at the questions below to show off what you know!

Q1.Which expression is equivalent to a² - b² ?

1/6

Q2.Match the expression equivalent to (x+4)(x-4).

2/6

Q3.Match the expression equivalent to (x+9)(x-3).

3/6

Q4.Which calculation would work out 64² - 4² ?

4/6

Q5.Match the expression equivalent to (x+25)-(x-25).

5/6

Q6.Match the expression equivalent to (73+x)(73-x).

6/6

# Lesson summary: Difference of two squares

## Time to move!

Did you know that exercise helps your concentration and ability to learn?

For 5 mins...

Move around:
Walk

On the spot:
Chair yoga