Crack This IMO Challenge | Algebra Simplification!

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Crack This IMO Challenge | Algebra Simplification!
Welcome to another exciting math challenge! In this video, we dive into a fascinating algebra problem inspired by the International Mathematical Olympiad (IMO). We'll walk you through the process of simplifying complex algebraic expressions, breaking down each step to help you understand and master the techniques.
Whether you're preparing for a math competition, enhancing your problem-solving skills, or just love a good math challenge, this video is for you. Join us and test your skills with this IMO-level algebra problem. Don't forget to like, comment, and subscribe for more math challenges and tutorials!
Topics covered:
IMO
Math Olympiad Preparation
Simplification
Expressions
An Algebra Challenge
Mathematical Olympiad
Algebraic identities
Algebraic manipulations
Substitutions
Radicals
Math Tutorial
Problem solving
Timestamps:
0:00 Introduction
0:20 Substitution
3:25 Algebraic identities
6:50 Simplifying expression
9:10 Answer
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#matholympiad #algebrachallenge #mathskills #problemsolving #simplification #algebra #learnmaths #mathtutorial #math
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[@user-kp2rd5qv8g]

Let a = sqrt(7) and b = sqrt(5) -sqrt(2). Further, let u = (a+b)^2 and v=(a-b)^2. Then, if N is the # to be calculated, 8N=u^3+v^3 = (u+v)[(u+v)^2 -3uv]. u+v = 4(7-sqrt(10)) and uv = 40. Thus, 8N= 8(7-sqrt(10)) [2(7-sqrt(10))^2 -60]. Simplifying, N=4004 -1196 sqrt(10).

[@SantoshKumar-zf5xv]

I became unable to get it 😢 please clarify me clearly