Binomial theorem expansion: Additional Maths Practice
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Binomial theorem expansion
5 self-marking Additional Maths practice questions on Binomial theorem expansion, written specifically for Cambridge IGCSE Additional Maths (0606) across Single tier. Instant marking with full worked solutions on every question.
What are the common mistakes in Binomial theorem expansion?
When a pupil makes one of these on Revision Workshop, the marking engine names the mistake and explains it, instead of just marking the answer wrong.
Treats all terms in an expansion as positive instead of correctly alternating signs when a bracket contains a negative term
Since the second term of the bracket is −3x (negative), the sign alternates term by term - −, +, −, not all positive.
Omits the binomial coefficient when writing a term of a binomial expansion, including only the variable/constant powers.
Quick answers about Binomial theorem expansion
How many Binomial theorem expansion practice questions are there?
There are 5 self-marking Additional Maths Maths questions on Binomial theorem expansion, written for Cambridge IGCSE Additional Maths (0606) across Single tier. Each one is marked instantly and has a full worked solution.
Do I need an account to practise Binomial theorem expansion?
No. You can start practising Binomial theorem expansion straight away without an account. A free account keeps your results across sessions, so you can see your progress on this topic over time.
=1+6x+15x2+20x3+15x4+6x5+x6.
Question 24 marksGrade 8
Find the first 4 terms, in ascending powers of x, of the binomial expansion of (2−3x)5, simplifying each term. [4]
(1, 5, 10, 10, 5, 1) as well as the powers of 2 and
−3x
- e.g. the
x2
term is
(25)(2)3(−3x)2=10×8×9x2=720x2
, not just
(2)3(−3x)2
.
Finds a coefficient in a product of expansions using only one pair of matching-power terms, omitting the other term pairs that also contribute.
The coefficient of x2 in the PRODUCT comes from every pair of terms whose powers add to 2 - not just x2×constant, but also x1×x1 and constant×x2 - all three pairs must be added together.