difference of two squares gcse questions
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Difference Between Two Squares
Question 1: Factorise each of the following (a) x2 − 25 (b) y2 − 49 (e) c2 − 64 (f) x2 − 1 (i) 16 − x2 (j) 1 − y2 (m) x2 − y2 (n) a2 − c2 (q) 49x2 − 16 (r) 100 − 81x2 (u) 121w2 − 196y2 (v) 225 − 121y2 (c) w2 − 100 (g) x2 − 900 (k) 81 − x2 (o) 9x2 − 25 (s) 9x2 − 4y2 Question 2: Factorise fully |
How do you find the difference of squares?
Difference of squares problems can be checked by multiplying out the result or expanding the product to a single polynomial. Check the work by multiplying ( 3 x + 2) ( 3 x − 2) out using FOIL (First, Outer, Inner, Last) to arrive back at the original binomial. Thus 9 x 2 − 4 factors to ( 3 x + 2) ( 3 x − 2).
What is a difference of squares?
A difference of squares is identified as a binomial with perfect square terms that are subtracted from each other. A perfect square term is a term that can be rewritten as an expression multiplied by itself. For example, 9 x 2 can be rewritten as 3 x ∗ 3 x or ( 3 x) 2. This is a perfect square term.
Can a lot of numbers be written as the difference between two squares?
A lot of numbers can be written as the difference between two squares. For example, Can you write all the numbers from 1 to 30 as the difference of two squares? Investigate the odd numbers... Investigate the even numbers... Investigate any numbers that were not possible... Can you find other multiples of 1000? Are there other ways of making 1000?
GCSE Maths
The Difference of Two Squares
Difference of Two Squares Explained Maths GCSE
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Corbettmaths
Difference Between Two Squares. Video 120 on www.corbettmaths.com. Question 1: Factorise each of the following. (a) x² ? 25. (b) y² ? 49. (c) w² ? 100. |
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Difference-between-2-squares-answers-pdf.pdf
Difference between two squares. Workout. Question 1. (a) (x ? 5)(x + 5). (b). (y ? 7)(y + 7). (c). (w ? 10)(w + 10). (d). (x ? 2)(x + 2). |
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Full Coverage: Factorising
This worksheet was automatically generated by the DrFrostMaths Question 13. Categorisation: Factorise the difference of two squares. |
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Difference-between-two-squares-worksheet-pdf.pdf
Show them that they are both incorrect. Corbettmaths - Difference between two squares. Page 2. Extension Task 1: Explain |
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Foundation Level Two Tier GCSE Mathematics
looking in greater detail at the problem solving questions. Students complete all three papers in Mock exam conditions ... Difference of two squares. |
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Complete the Square
use this as a guide as to how much time to spend on each question. 3 (a) Write x² + 10x + 2 in the form (x + a)² + b where a and b are integers. |
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Factoring the Difference of Squares
Answers to Factoring the Difference of Squares. 1) (3x + 1)(3x ? 1). 2) (2n + 7)(2n ? 7). 3) (6k + 1)(6k ? 1). 4) (p + 6)(p ? 6). 5) 2(x + 3)(x ? 3). |
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Factorising the difference of two squares
This leaflet explains what this means and how such expressions are factorised. What is meant by the difference of two squares ? A typical example of a quadratic |
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GCSE (1 – 9) Completing the Square Name:
GCSE (1 – 9) The marks for each question are shown in brackets ... 3 (a) Write x² + 10x + 2 in the form (x + a)² + b where a and b are integers. |
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Expanding Brackets Worksheet - Algebra - Maths GCSE
Step 2: Collect any like terms. Step 3: Check your answer using the difference of two squares formula. https://bit.ly/pmt-cc. |
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Difference Between Two Squares - Corbettmaths
Difference Between Two Squares Video 120 on www corbettmaths com Question 1: Factorise each of the following (a) x² − 25 (b) y² − 49 (c) w² − 100 |
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Difference between two squares worksheet - Corbettmaths
2) x⁴ - y⁴ 3) x⁴ - 1 4) x⁴ - 81 5) x⁶ - 36 6) 4x⁴ - 9 7) 25x⁴ - 4y⁴ 8) x⁶ - y⁸ 9) 25x⁶ - 1 10) x² - y⁶ Activity 4: Correct Helenaʼs homework Question 1 |
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Factorising the difference of two squares - Mathcentre
This leaflet explains what this means and how such expressions are factorised What is meant by the difference of two squares ? A typical example of a quadratic |
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Factoring the Difference of Squares
Intermediate Algebra Skill Factoring the Difference of Squares Factor each completely 1) 9x 2 − 1 2) 4n 2 − 49 3) 36k 2 − 1 4) p 2 − 36 5) 2x 2 − 18 |
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GCSE GCSE GCSE GCSE - Go Teach Maths
GCSE 1 Edexcel Higher : May 2018 Paper 1, Q15 (a + b)(a – b) (1) (Total for Question 1 is 4 marks) Difference of two squares (b) Hence or otherwise, |
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