What you will learn:

8A Expanding binomial products
8B Perfect squares and the difference of two squares
8C Factorising algebraic expressions
8D Factorising the difference of two squares
8E Factorising by grouping in pairs
8F Factorising monic quadratic trinomials
8G Factorising non-monic quadratic trinomials
8H Simplifying algebraic fractions: multiplication and division
8I Simplifying algebraic fractions: addition and subtraction
8J Further addition and subtraction of algebraic fractions
8K Equations involving algebraic fractions

Outcomes 

A student simplifies algebraic fractions, and expands and factorises quadratic expressions.
A student solves linear and simple quadratic equations, linear inequalities and linear simultaneous equations, using analytical and graphical techniques.
A student selects and applies appropriate algebraic techniques to operate with algebraic expressions.
A student solves complex linear, quadratic, simple cubic and simultaneous equations, and rearranges literal equations.