# Factorisation

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**AHSNICKNAME1005**

Last updated 4 years ago

** Discipline: **

Math ** Subject: **

Pre-Calculus
** Grade:**

8,9,10,11,12

Quadratic Equations:Factorise x² + 2x - 8First you need to find two numbers with the sum of 2 and a product of -8. This has to be 4 and -2So the simplified expression will be (x+4)(x-2)There is also another method; The Difference of Two Squares. You can use this when you have a square number subtracted with anotherE.G.a² - b² = (a + b)(a - b) and25 - x² = (5 + x)(5 - x) [imagine that a = 5 and b = x)

Algebraic Factorisation is a process where you find what to multiply to get an expression.In other words, it is divideing an expression into a multiplication of simpler equationsFact: Factorisation is the opposite of expanding

FACTORISATION

In order to factorise, you must find the HiGHEST COMMON FACTOR.For example, 3y + 12xy. Both 3y and 12xy have a common factor of 3 but they also have the variable of y. Hence the highest common factor is 3y. You then divide all the numbers in the expression by this HCF So we get:3y (1+4x)

How?

What is Factorisation?

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Perfect Square Factorisation:-They factorise into two identical factorsA perfect square must contain two squares; a² and b²and a middle term which is +2ab or -2abThe sign of the middle term indicates whether the expression will be ( a² - b²) or (a² + b²)

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