Maths

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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).

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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

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >
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

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This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >
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

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >
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

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The next lesson in:
Quadratic expressions (9.9)
is:
Factorising quadratics (Part 1)

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