Expanding & Factorising

Multiply out brackets and reverse the process to spot hidden structure in expressions.

Expanding Double Brackets

Use FOIL or the grid method to multiply two brackets together and simplify the result.

Expanding Single Brackets

Multiply everything inside a bracket by the term outside — the foundation of all expanding work.

Factorising Quadratics

Reverse expand to write a quadratic as two brackets — find the right pair of numbers and you're done.