Expanding and Factorising
Special Situations

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}

When expanding two brackets with each other, each term in the first bracket must multiply each term in the second bracket. If we have a special situation of having two terms in each set of brackets, then the acronym FOIL can be used to assist with expanding.