- Simplify and manipulate algebraic expressions, including those involving surds and algebraic fractions.
- Collect like terms.
- Multiply a single term over a bracket.
- Take out common factors.
- Expand products of two or more binomials.
- Factorise quadratic expressions of the form x2+bx+c, including the difference of two squares.
- Factorise quadratic expressions of the form ax2+bx+c.
- Simplify expressions involving sums, products, and powers using the laws of indices.