Binomial Expansion C2 Exam Questions


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Worked solutions to questions on the binomial expansion.

The following figures show the formulas for the binomial expansion of (a + b)n and (1 + b)n. Scroll down the page for more examples and solutions.
Binomial Expansion

A-Level Maths Edexcel C2 January 2007
2. (a) Find the first 4 terms of the binomial expansion, in ascending powers of x, of
(1 - 2x)5
giving each term in its simplest form.
(b) If x is small, so that x2 and the higher powers can be ignored, show that
(1 + x)(1 - 2x)5 ≈ 1 - 9x

Worked solution to A-Level Maths Edexcel C2 January 2007 Q2a on the binomial expansion.

A-Level Maths Edexcel C2 January 2007 Q2b
Worked solution to the above Core 2 question on the binomial expansion.




A-Level Edexcel C2 June 2007
3. (a) Find the first four terms, in ascending powers of x, in the binomial expansion of (1 + kx)6, where k is a non-zero constant.
Given that, in this expansion, the coefficients of x and x2 are equal, find
(b) the value of k,
(c) the coefficient of x3.

A-Level Edexcel C2 June 2007 Q3(a)
Worked solution to this question on the binomial expansion

A-Level Edexcel C2 June 2007 Q3(b)
Worked solution to this question on the binomial expansion.

A-Level Edexcel C2 June 2007 Q3(c)
Worked solution to this question on the binomial expansion.



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