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Factorisation

Theory Refresher

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The most basic method of factorisation is to take out a common factor, that is, a number (or variable) common to all terms in the expression. This is based on the Distributive Law:

If there are more than two terms, sometimes it may be helpful to group terms that have common factors.

Factorisation of the difference of two squares is given by the following simple rule:


Sometimes it may be necessary to take out a common factor first.

Factorisation of a general quadratic expression is essentially done by "educated guess work". Use any reliable method learnt at school, or the "cross method".

Other important points


If in doubt, check by multiplying the factors together!

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