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Math
Advanced Topics
Advanced Problem-Solving Tips
Tips for Building Stories or Dissecting Problems
Strategies in Algebra, Analysis, and Combinatorics
Canonical Forms in Problem-Solving
Canonical Forms: Evaluating and Simplifying
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Explanations
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Factoring algebraic expressions is a technique used to break down a large expression into the product of smaller expressions. For example, x2+4x+4x^2+4x+4x2+4x+4 can be factored…
By Michael Yang
Problems
3
Given that x+1x=3,x+\frac{1}{x}=3,x+x1=3, evaluate x4+1x4.x^4+\frac{1}{x^4}.x4+x41.
Given that x+y=9x + y = 9x+y=9 and xy=1,xy = 1,xy=1, compute (x−y)2.(x-y)^2.(x−y)2.
Given that a2=a−1,a^2=a-1,a2=a−1, evaluate a5+a+2.a^5+a+2.a5+a+2.
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