# Chapter 1 Algebraic Methods

## 1.3 Partial Fractions

A single fraction with two distinct linear factors in the denominator can be split into two separate fractions with linear denominators. This is called splitting it into partial fractions. In this section you learn about partial fractions , split a single fraction into partial fractions, split a fraction with three distinct linear factors in the denominator

Chapter 1 Algebraic Methods

## 1.2 Algebraic Fractions

Algebraic fractions work in the same way as numeric fractions. You can simplify them by cancelling common factors and finding common denominators. To multiply fractions, cancel any common factors, then multiply the numerators and multiply the denominators.

Chapter 1 Algebraic Methods

## 1.1 Proof by Contradiction

A contradiction is a disagreement between two statements, which means that both cannot be true. Proof by contradiction is a powerful technique. In this section you learn about multiplying algebraic fractions, algebraic fractions, factorisation of algebraic expressions, divide algebraic fractions, simplify algebraic fractions.

Chapter 1 Algebraic Methods