Learning checklist. Next lessons. Still stuck? In order to access this I need to be confident with: Expanding brackets Expand and simplify Factors, multiples, powers and roots Algebraic expressions Adding and subtracting negative numbers Multiplying and dividing negative numbers Highest common factor HCF Laws of indices Square numbers and square roots.
This topic is relevant for:. Look out for the factorising worksheets and exam questions at the end. What is factorising Factorising is the reverse process of expanding brackets. The simplest way of factorising is Find the highest common factor of each of the terms in the expression. Write the highest common factor HCF in front of any brackets Fill in each term in the brackets by multiplying out. How to factorise expressions To factorise algebraic expressions there are three basic methods.
What are the 3 standard ways to factorise algebraic expressions? Factorisation methods Each method of factorising or factoring expressions is summarised below. Top tip: Writing the factor pairs makes it easier to list all the factors. Fully factorise: y. Learning checklist You have now learnt how to: Manipulate algebraic expressions by taking out common factors to factorise into a single bracket. The next lessons are Simultaneous equations Solving equations All about the quadratic equation Solving quadratic equations.
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This has to be 4 and Once you work out what is going on, this method makes factorising any expression easy. It is worth studying these examples further if you do not understand what is happening. Unfortunately, the only other method of factorising is by trial and error. If you are asked to factorise an expression which is one square number minus another, you can factorise it immediately. Click here to find more information on quadratic equations.
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