Expanding and Factorising
The Distributive Law

Expanding and Factorising

​Pre-Test

• Pre-Test

​Algebra skills {revision}

• Substitution
• Simplifying by collecting like terms

​​Algebra skills

• Rearranging formulas

​Expansion

• The distributive law
• FOIL expansion
• Special situations
• Further expansion

Factorisation

• Factorising by the Highest Common Factor (HCF)
• Factorising by sum and product {Part 1}
• Factorising by sum and product {Part 2}

Expanding is the process of removing brackets using the distributive law. The term in front of the bracket must multiply with each term within the bracket. For example:
a(b+c) = ab + ac
a(b-c) = ab - ac