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NSW Y8 Maths Algebra Expanding Expressions and Simplifying

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Expanding Expressions and Simplifying Theory

The distributive law is given as: $$ \begin{aligned} a(b+c) & =a \times b+a \times c \\ & =a b+a c \end{aligned} $$ \hfill\linebreak \begin{multicols}{2} \textbf{Example 1}\\ Simplify \(3+2(x+5)\)\\ \textbf{Example 1 solution}\\ \(\begin{aligned} 3+2(x+5) &= 3+2 x+2 \times 5 \\ &= 3+2x+10\\ & =2 x+13 \end{aligned}\) \columnbreak \textbf{Example 2}\\ Simplify \(2(x-4)-x(x+2)\)\\ \textbf{Example 2 solution}\\ \(\begin{aligned} 2(x-4)-x(x+2) & =2 x-8-x^2-2 x \\ & =-x^2-8 \end{aligned}\) \end{multicols}

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Videos relating to Expanding Expressions and Simplifying.

  • Expanding Expressions and Simplifying - Video - Expanding Expressions and Simplifying - Example 1

  • Expanding Expressions and Simplifying - Video - Expanding Expressions and Simplifying - Example 2

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