The Binomial Expansion
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a.

Find the first 4 terms, in ascending powers of xxx, of the binomial expansion of (1−2x)5(1 - 2x)^5(1−2x)5. Give each term in its simplest form.

[4]
b.

If x x\,x is small, so that x2 x^2\,x2 and higher powers can be ignored, show that

(1+x)(1−2x)5≈1−9x. (1 + x)(1 - 2x)^5 \approx 1 - 9x. (1+x)(1−2x)5≈1−9x.
[2]

The Binomial Expansion Questions

Practise Edexcel A Level Old Maths The Binomial Expansion with exam-style questions for A Level Old Maths. 10 questions, matched to the Edexcel A Level Old Maths (9371) specification and written in Unit exams C1, C2, C3 and C4 plus two applied units (e.g. S1 and M1) style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

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The Binomial Expansion Questions

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