GCSE · Algebraic manipulation

Expanding bracketsExam-style questions

Why a multiplier reaches every term inside a bracket, why double brackets need every-with-every (and where the middle term of a square comes from), and how three brackets fall to the same rule two at a time.

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17 questions · GCSE (Higher) level · mark scheme and worked solution on each · no sign-up to try

DifficultyAll Level 1 Level 2 Level 3 Level 4 Level 5

1
Show that $(3x + 2)(x - 4)(x + 6)$ can be written in the form $ax^3 + bx^2 + cx + d$ where $a$ , $b$ , $c$ and $d$ are integers.

(3 marks)
Level 4 · 3 marksTry it
2
Expand and simplify $(4x - 3)(2x + 1)(x - 3)$

(3 marks)
Level 4 · 3 marksTry it
3
Expand and simplify $(2x - 5)^2$
Level 4 · 2 marksTry it
4
Expand and simplify $(3x + 2)(2x - 5)$
Level 4 · 2 marksTry it
5
Expand and simplify $(3x + 4)^2$
Level 4 · 2 marksTry it

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