Practice Algebraic Pattern in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
A recognizable, recurring algebraic structure such as a^2 - b^2 or (a+b)^2 that can be applied systematically.
a^2 - b^2 always factors to (a+b)(a-b) — recognize the pattern once and apply it everywhere.
Example 1
easyIdentify the pattern and factor: x^2 - 2x + 1.
Example 2
hardFactor x^3 - 27 by identifying the pattern.
Example 3
easyWhat pattern does 9x^2 - 16 match?
Example 4
mediumSimplify \frac{x^3 + 8}{x + 2}.