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NSW Y8 Maths Algebra Factorising Expressions

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Factorising Expressions Theory

Simple factorising is the reverse of the distributive law. $$a b+a c=a(b+c).$$ \begin{multicols}{2} \textbf{Example 1}\\ Factorise \(12 x+3 x y\)\\ \textbf{Example 1 solution}\\ \(\begin{aligned} 12 x+3 x y&=3 x \times 4+3 x \times y \\ &=3 x(4+y) \end{aligned}\) \columnbreak \textbf{Example 2}\\ Factorise \(15 x^2 y-3 x y^2\)\\ \textbf{Example 2 solution}\\ \(\begin{aligned} 15 x^2 y-3 x y^2 & =3 \times 5 x^2 y-3 x y^2 \\ & =3\left(5 x^2 y-x y^2\right) \\ & =3(5 x \times x y-y \times x y) \\ & =3(x y(5 x-y)) \\ & =3 x y(5 x-y) \end{aligned}\) \end{multicols}

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Videos

Videos relating to Factorising Expressions.

  • Factorising Expressions - Video - Factorising Expressions - Example 1

  • Factorising Expressions - Video - Factorising Expressions - Example 2

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