# Factoring and Fractions

By M Bourne

Many mathematics formulas involve **factoring**. It makes your (mathematical) life a lot easier if you are confident when factoring complex expressions.

Even though we use decimals more than we use fractions in everyday life, an
understanding of **fractions** is still important in
mathematics, especially in algebra.

### Related Sections in

"Interactive Mathematics"

Division of Algebraic Expressions (Algebra)

Solving Quadratic Equations by Factoring

Division of Radicals (square roots)

Limits (in Differentiation)

Curvilinear motion (see example 2)

## Overview of this chapter

We start with a reminder on how to expand expressions like (*x* + *y*)^{2} in the Special Products section.

Then we'll learn how to:

- Factor expressions like
*a*^{2}−*b*^{2}in Difference of Squares, followed by... - Factor Trinomials (eg 3
*a*^{2}+ 2*ab*−*b*^{2}) then - Factor Cubes like
*a*^{3}−*b*^{3}.

The final part of this chapter is about **algebraic fractions**.

- We first recall what an Equivalent Fraction means and learn how to
**factor fractions**. - Then we see how to Multiply and Divide Algebraic fractions, followed by...
- Adding and Subtracting Algebraic Fractions
- Finally, we see some examples and applications of Equations involving Fractions.

The chapter begins with 1. Special Products »