Cambridge Maths Academy

Pure mathematics Year 1 Here's a short introduction to Pure maths 1 Chapter 1 Algebraic expressions. 1.1 Index laws: Multiply and divide integer powers. 1.2 Expanding brackets: Expand a single term over brackets and collect like terms. Expand the product of two or three expressions. 1.3 Factorising: Factorise linear, quadratic and simple cubic expressions. 1.4 Negative and fractional indices: Kn..

Pure mathematics Year 2 Table of contents Partial fractions revisited Partial fractions with repeated factors Examples Edexcel P2 Ch1 Exercise 1E The main task of this section is to understand partial fractions with repeated factors. In order to do so, we need to consider and understand some general form of fractions. 1. Partial fractions revisited In the previous section, P2 §1.3 Partial fracti..

Pure mathematics Year 2 Table of contents Partial fractions Examples Edexcel P2 Ch1 Exercise 1D 1. Partial fractions In the previous section, P2 §1.2 Algebraic fractions, we learnt how to add and subtract two (or more) fractions, e.g. $$ \frac{2}{x+3} - \frac{1}{x+1} = \frac{x-1}{(x+3)(x+1)} $$ Now, we can perform the reverse. In other words, a single fraction with two distinct linear factors in..

Pure mathematics Year 2 Table of contents Algebraic fractions Multiplication Division Edexcel P2 Ch1 Exercise 1B Addition and subtraction Edexcel P2 Ch1 Exercise 1C 1. Algebraic fractions Algebraic fractions work in the same way as numeric fractions. We can simplify them by cancelling common factors for multiplication and division, and finding common denominators for addition and subtraction. 2...