Difference of two squares
Switch to our new maths teaching resources
Slide decks, worksheets, quizzes and lesson planning guidance designed for your classroom.
Play new resources video
Lesson details
Key learning points
- 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).
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.
Loading...
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
6 Questions
Q1.
Which expression is equivalent to a² - b² ?
(a - b)(a - b)
2ab
ab
Q2.
Match the expression equivalent to (x+4)(x-4).
x² - 16x
x² - 4
x² - 8x + 16
x² + 4²
Q3.
Match the expression equivalent to (x+9)(x-3).
x² - 3²
x² - 6²
x² + 3x - 27
Q4.
Which calculation would work out 64² - 4² ?
(8 x 2)²
60 x 60
72 x 6
Q5.
Match the expression equivalent to (x+25)-(x-25).
x² - 25
x² - 25²
x² + 5²
Q6.
Match the expression equivalent to (73+x)(73-x).
73 - x²
73 + x²
x² - 73
x² - 73²