Grade 10 Maths · Algebra

Factorise sum or difference of cubes

Factorise a sum or difference of two cubes into a bracket and a trinomial (for example x³ − 8 = (x − 2)(x² + 2x + 4)).

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10) Difference of Cubes Grade 10Kevinmathscience

Sum or difference of cubes Factorising Grade 10 MathsMiss Martins Maths and Science

Grade 10 - Mathematics - Algebra - Sum and Difference of Two CubesJuniorTukkie at the University of Pretoria

Factoring Sum and Difference of CubesMario's Math Tutoring

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Question 1.5 · March 2022 · Provincial · 2 marks

Four options are provided as possible answers to the following questions. Choose the correct option.

1.5 If

(a^{3} + 27) = (a + 3) (a^{2} + ma + 9)

, then

m

equals:(2)

A -9
B -3
C 9
D 3

Work it out on paper first. Then mark yourself with the official memo, one tick at a time.

More past paper questions: factorise sum or difference of cubes

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3. Question 1.3.3 · March 2025 · Provincial · 2 marks
1.3 Factorise the following expressions fully.
1.3.3 $125 x^{3} + 27$ (2)
Show the memo (2 ticks)Memo
1. ✓
  Identify sum of cubes $(5 x)^{3} + 3^{3}$
  0 marks · Factorise sum or difference of cubes
2. ✓
  Factorise $(5 x + 3) (25 x^{2} - 15 x + 9)$
  2 marks · Factorise sum or difference of cubes
4. Question 1.4.1 · March 2024 · Provincial · 2 marks
1.4 Factorise the following expressions fully:
1.4.1 $x^{3} - 8$ (2)
Show the memo (1 tick)Memo
1. ✓
  Apply difference of cubes $(x - 2) (x^{2} + 2 x + 4)$
  2 marks · Factorise sum or difference of cubes
5. Question 1.4.1 · March 2023 · Provincial · 2 marks
If $x = 2$ and $y = - 2$ , decide whether the following expressions are rational, irrational or non-real:
1.4 Factorise the following:
1.4.1 $8 x^{3} + 1$ (2)
Show the memo (2 ticks)Memo
1. ✓
  $2 x + 1$ $8 x^{3} + 1 = (2 x + 1) (\dots)$
  1 mark · Factorise sum or difference of cubes
2. ✓
  $4 x^{2} - 2 x + 1$ $= (2 x + 1) (4 x^{2} - 2 x + 1)$
  1 mark · Factorise sum or difference of cubes
6. Question 2.2.1 · March 2022 · Provincial · 2 marks
2.2 Factorise the following expressions fully:
2.2.1 $x^{3} - y^{9}$ (2)
Show the memo (1 tick)Memo
1. ✓
  Difference of cubes $(x - y^{3}) (x^{2} + x y^{3} + y^{6})$
  2 marks · Factorise sum or difference of cubes

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