Expanding a single bracket

Multiplying the outside term over every term inside, not just the first.

A minus sign in front of a bracket

Expanding with a negative term outside, where the second sign inside flips.

Expanding then collecting like terms

Simplifying 3(x + 2) − 2(x − 5), the minus acting on the whole second bracket.

Expanding double brackets

Multiplying every term in one bracket by every term in the other.

Double brackets with coefficients

Expanding (2x + 3)(3x − 1), keeping track of the middle terms.

Squaring a bracket

Writing (x + 4)² as a full double bracket, never just x² + 16.

Expanding triple brackets

Multiplying two brackets first, then the third into the result.

Higher

Practice

Expanding double brackets

Multiplying every term in one bracket by every term in the other.

Practice

Double brackets with coefficients

Expanding (2x + 3)(3x − 1), keeping track of the middle terms.

Practice

Squaring a bracket

Writing (x + 4)² as a full double bracket, never just x² + 16.

Practice

Expanding and factorising review

Double brackets, quadratics and the difference of two squares.

Mixed review