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A1 use and interpret algebraic manipulation, including:

• ab in place of a × b
• 3y in place of y+y+y and 3×y
• a² in place of a×a, a³ in place of a×a×a, a²b in place of a×a×b
• a/b in place of a÷b
• coefficients written as fractions rather than as decimals
• brackets

A4 simplify and manipulate algebraic expressions (including those involving surds and algebraic fractions) by:

• collecting like terms
• multiplying a single term over a bracket
• taking out common factors
• expanding products of two or more binomials
• factorising quadratic expressions of the form x² + bx + c, including the difference of two squares;
• factorising quadratic expressions of the form ax² +bx+c
• simplifying expressions involving sums, products and powers, including the laws of indices