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Multiplying by one doesn’t usually do much - but in this problem from an old Olympiad paper collapses a huge product of sums of powers into a simple difference of two powers. This is a super useful technique that can be extended much further than just this example - play around with it and see if you can come up with your own version - there are many other numbers with their own properties. Playing around with your own questions is a super important part of preparing for Olympiads, AMC and other maths competitions as it gives you a deeper insight into why problems work. Subscribing, liking and commenting all help this channel to grow so please let me know what you thought of this video and problem below. #maths #maths #amc #amc10 #amc12 #amc8 #matholympiad #olympiad #algebra #ukmt #ukmaths #ukmathschallenge #kangaroomaths #numbers #algebra #mindyourdecisions #3b1b #education #stem #stemeducation #logic #iqtest