4.10: Coefficient from binomial products

0606/23/M/J/26 — Question 3 · 5 marks

(a)
Expand \((1+2x)(1-2x)\).
[1]
(b)
Hence find the coefficient of \(x^5\) in \((1+2x)^{10}(1-2x)^{12}\).
[4]