## Simplifying with Substitutions

Summary

The content provides advanced strategies for simplifying complex algebra problems on the GRE by using substitutions to reduce equations to more manageable forms.

- Introduces a sophisticated trick involving right-brain pattern matching for simplifying hard algebra problems, emphasizing its application to the most advanced problems.
- Demonstrates the process of substitution with practice problems, showing how replacing repeated expressions with a single variable can simplify the equation solving process.
- Explains how to solve for the substituted variable and then use those solutions to solve for the original variables, providing a clear method for tackling quadratic-like equations and compound fractions.
- Highlights the efficiency of this method through examples, including solving for variables in quadratic equations and simplifying complex fractions by breaking them into stages.

Chapters

00:05

Introduction to Substitution

01:01

Simplifying Quadratic-like Equations

03:35

Applying Substitution to Complex Fractions