Simplifying a Nice Expression Without a Calculator | Algebra Puzzle

Simplifying a Nice Expression Without a Calculator | Algebra Puzzle
Welcome to our Algebra Puzzle series! In this video, we simplify a beautiful algebraic expression entirely without a calculator. Join us as we break down each step, offering clear explanations and insightful tips to help you tackle algebraic simplifications with confidence. Whether you're preparing for exams, a Math Olympiad, or just love challenging math problems, this video is perfect for you.
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Topics covered:
Math Olympiad
Algebra
Algebraic identities
Algebraic manipulations
Expressions
Simplification
Exponents
Exponent laws/properties/rules
Long division method
Math Tutorial
Problem solving
Olympiad question
Math Olympiad Preparation
Factorization
#matholympiad #simplification #problemsolving #mathematics #challenge #mathskills #math #algebra #education #expression
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[@mulla_modi]

Very nice

[@woobjun2582]

Fabulous, Sir!!!

[@tejpalsingh366]

10658/ 146= 73

[@user-kp2rd5qv8g]

a=1^2, b=4^3, c=3^4. Note that the denominators of the two terms are the same, 146. So, the given number N = [a^2+b^2+c^2]/(a+b+c) = a+b+c -2 [ab+bc+ca]/(a+b+c) = 146 - (2/146)[145+5184] = 146- 1/73[146 + 5183] = 144- 5183/73 = 144-71 = 73.

[@kassuskassus6263]

Let a=1^2, b=4^3 and c=3^4. (a+b+c)^2=a^2+b^2+c^2-2(ab+bc+ac), thus a^2+b^2+c^2=(a+b+c)^2-2(ab+bc+ac). Or, 2^12+81^2+1=a^2+b^2+c^2. We have to focus that 1^2+4^3+3^4=5^2+11^2 (same denominator). After simplifications, we'll get E=73

[@mohammadazadi4535]

you could divided E n to E

[@peterotto712]

Ridiculously awkward

[@john-paulderosa7217]

Can you make this problem more than manipulation of symbols by explaining in what circumstances one would encounter such an expression In scientific research?

[@woobjun2582]

An absurd nitpicking! Why should an algebraic manipulation be connected to scientific researches?

[@infyGyan]

Definitely, Will try.
Thanks.

[@john-paulderosa7217]

@@woobjun2582 Pure math is important by itself, but when it turns out that math problems have real applications we also learn unexpected things about the universe and its mathematical nature.