A Nice Algebra Problem | Simplify Without Calculators!
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- Опубликовано: 6 июл 2024
- A Nice Algebra Problem | Simplify Without Calculators!
Welcome to another exciting algebra challenge! In this video, we'll tackle a nice algebra problem and simplify it without the use of calculators. Test your math skills and see if you can solve this problem step-by-step. Perfect for Math Olympiad preparation and anyone who loves a good brain teaser. Let's dive into the world of algebra and sharpen our problem-solving skills together. Don't forget to like, comment, and subscribe for more math challenges!
In this video, we cover:
Techniques for simplifying algebraic expressions
Step-by-step walkthroughs of challenging problems
Tips and tricks for mastering algebra without a calculator
Join us and see if you can solve these puzzles faster!
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🎯 This video is perfect for students, math enthusiasts, or anyone seeking to sharpen their problem-solving skills and gain confidence in dealing with algebraic expressions.
#simplification #problemsolving #mathematics #mathskills #math #algebra #calculatorsnotallowed #expression #simplify
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謝謝,訓練腦力。
1+2^51-2^ 26
2^51-2^26+1
All I can I say about this, this is just BEAUTIFUL!!!
Let 2^25 = t,
the given becomes
E = N/D
where
N = 1 +16t^4 -4t^4 -8t^4
= 1 + 4t^4,
D = 1 + 2t + 2t^2.
Then, further manipulating N
N = 1 +4t^4
= 1 +(2t^2)^2
= (1 +2t^2)^2 - 4t^2
N = (1 +2t^2)^2 - (2t)^2
=(1 +2t^2 -2t)(1 +2t^2 +2t)
Thus,
E = N/D = (1 +2t^2 -2t)
= 1 +(2^25)^2 -2(2^25)
= 1 +2^50 -2^26
E = 1 + 4^25 -4^13
(x ➖ 2x+1)
That is not algebra