Higher Algebra Using Symmetry [Substitution beats expansion]
Автор: Math Mind Logic
Загружено: 2025-12-29
Просмотров: 16
“Why substitution beats expansion every time”
Most students attack this Algebra problem by brute-force expansion.
That approach works—but it hides the structure.
In this video, we solve using a higher algebra substitution:
x=u+v,y=u−v
This symmetric transformation instantly simplifies the system, reduces a 4th-degree expression to a quadratic, and reveals the solution with clarity.
Focus areas:
Higher algebra techniques
Symmetry in polynomial equations
Structural thinking over computation
Elegant substitutions used in Olympiad math
If you want to move beyond routine algebra and start thinking like a mathematician, this is for you.
#algebra #maths #matholympiad
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