Algebraic Foundations and Quadratics

Expand and simplify expressions involving brackets and negative terms, ensuring no sign errors.

Factorize expressions by identifying common factors, grouping, and using difference of squares.

Solve linear equations, including those with algebraic fractions and brackets.

Solve quadratic equations by factorization, using the quadratic formula, and by completing the square.

Select the most efficient method (factorization, formula, completing the square) to solve a given quadratic equation.

Rearrange complex formulae to change the subject, including cases where the subject appears twice.