Factorising

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You can write expressions as a product of their factors. Factorising is the opposite of expanding brackets. A quadratic expression has the form \math-container{ax\power{2}+bx+c } where \math-container{a, b } and \math-container{c} are real numbers and \math-container{a} ≠ 0 To factorise a quadratic expression: Find two factors of \math-container{ac} that add up to \math-container{b} Rewrite the \math-container{b} term as a sum of these two factors Factorise each pair of terms Take out the common factor \math-container{x\power{2}-y\power{2}=(x+y)(x-y)} An expression of the form \math-container{x\power{2}-y\power{2}} is called the difference of two squares

Factorising

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Factorising is the opposite of .

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Factorise completely
9x2y + 15xy2

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Factorise:
6x2 – 11x – 10

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