Rewrite expressions using structure

What you'll learn

1. Identify algebraic patterns (difference of squares, perfect square trinomials, sum/difference of cubes) within expressions by examining their structure
2. Rewrite expressions by recognizing and applying known factoring patterns, including in cases where substitution reveals hidden structure
3. Use a temporary substitution (e.g., letting u = x²) to simplify the apparent form of an expression and apply known patterns
4. Explain why a particular rewriting strategy was chosen based on the visible structure of the expression
5. Verify that a rewritten expression is equivalent to the original by expanding or evaluating at test values

Prerequisites

• Interpret expressions in context