#binomialexpansion #binomial #binomial_theorem #hscmaths In this video, we show the process of how to find the coefficient of x^6 in the binomial expansion of (x-2)^2*(2x-3)^8 The idea is to identify each of the term from the first bracket must multiply to in the binomial expansion of the second bracket to get x^6 term. Once that is identified, we simply multiply term by term and then add all the x^6 terms together. This is part of the Australian NSW Year 11 Extension 1 HSC Maths Syllabus