AQA · Mathematics · 8300
GCSE Maths: Algebra: expanding three brackets
Algebra · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise for Algebra: expanding three brackets (Corbettmaths Video 15), and every card links back to the exact page it came from. Practice tests generate fresh variations of these questions, so the numbers change every attempt. Source material © Corbettmaths — used with attribution.
8 flashcards · Free to study · No account needed
Study this deck
Preparing your cards…
All questions and answers
Read through the full deck, or practise recalling each answer above.
What is the first step when expanding three brackets like (x + 3)(x + 2)(x + 1)?
Show answer
Expand any two brackets first, then multiply the result by the third bracket.
When expanding (x + a)³, how many terms will the expanded form have before simplifying?
Show answer
Eight terms (2³ = 8), which then simplify to four terms.
What is the highest power of x when three linear brackets are multiplied together?
Show answer
x³ (a cubic term).
When expanding (x + 2)³, this is equivalent to expanding ?.
Show answer
(x + 2)(x + 2)(x + 2)
How many terms are in the fully simplified expansion of three linear brackets?
Show answer
Four terms: a cubic term, a squared term, a linear term, and a constant.
When expanding (2x + 1)(x + 3)(x + 1), what makes it different from (x + 1)(x + 3)(x + 1)?
Show answer
The coefficient 2 in front of x in the first bracket, which affects the coefficient of the x³ term.
What strategy can be used to find unknown constants when given an expanded form like (x + a)(x + b)(x + c) = x³ + ... + constant?
Show answer
Compare coefficients of corresponding terms on both sides, or substitute x = 0 to find the constant term equals a × b × c.
In the expansion of (x + a)(x + b)(x + c), the constant term equals ?.
Show answer
a × b × c
Want to create your own cards? Create a free account. AI generation uses credits.