Grade 10 Maths · Algebra

Multiply out larger brackets

Multiply out bigger brackets, multiplying every term by every other term (for example (x + 1)(x² − x + 1) = x³ + 1).

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2) Binomial x trinomial | products grade 10Kevinmathscience

4) Trinomial x trinomial | products grade 10Kevinmathscience

Gr 9 Products : binomial x trinomialKevinmathscience

Algebra | Multiplying a binomial with a trinomial | Grade 9 MathMatheNatic

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Question 1.1 · March 2016 · Provincial · 2 marks

1.1 Determine the product of the following and simplify fully:

(x - 4) (x^{2} + 4 x + 16)

(2)

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More past paper questions: multiply out larger brackets

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3. Question 1.5.1 · March 2024 · Provincial · 2 marks
1.5 Simplify the following expressions fully:
1.5.1 $(2 x - 1) (x^{2} - 2 x + 1)$ (2)
Show the memo (1 tick)Memo
1. ✓
  Distribute and simplify $2 x^{3} - 4 x^{2} + 2 x - x^{2} + 2 x - 1$
  $= 2 x^{3} - 5 x^{2} + 4 x - 1$
  2 marks · Multiply out larger brackets
4. Question 1.2.1 · March 2023 · Provincial · 2 marks
If $x = 2$ and $y = - 2$ , decide whether the following expressions are rational, irrational or non-real:
1.2 Expand the following expressions:
1.2.1 $(a - 2) (a^{2} + 2 a + 4)$ (2)
Show the memo (2 ticks)Memo
1. ✓
  $a^{3}$ $(a - 2) (a^{2} + 2 a + 4) = a^{3} \dots$
  1 mark · Multiply out larger brackets
2. ✓
  $- 8$ $= a^{3} - 8$
  1 mark · Multiply out larger brackets
5. Question 1.2.2 · March 2019 · Provincial · 2 marks
Factorise the following expressions fully:
1.2 Simplify the following expressions fully:
1.2.2 $(x y^{3} - 3) (x^{2} y^{6} + 3 x y^{3} + 9)$ (2)
Show the memo (1 tick)Memo
1. ✓
  Identify difference of cubes or expand $x^{3} y^{9} - 27$
  2 marks · Multiply out larger brackets
6. Question 1.1.1 · March 2018 · Provincial · 2 marks
1.1 Determine the product of the following expressions:
1.1.1 $(2 r + p) (4 r^{2} - 2 r p + p^{2})$ (2)
Show the memo (1 tick)Memo
1. ✓
  Expand and simplify $8 r^{3} - 4 r^{2} p + 2 r p^{2} + 4 r^{2} p - 2 r p^{2} + p^{3}$
  $= 8 r^{3} + p^{3}$
  2 marks · Multiply out larger brackets

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