Resources for Dividing Terms
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Dividing Terms Theory
![When dividing terms the number are first divided or simplified as fractions and the like terms are grouped together and if there are more than one like term then the powers are subtracted.\\ For example \( \begin{aligned}[t] 9 x^3 \div 3 x&=(9 \div 3) \times x^3 \div x^1\\ & =3 \times x^{3-1} \\ & =3 x^2 \end{aligned}\) \begin{multicols}{2} \textbf{Example 1}\\ Simplify \(8 x^2 y \div 4 x\)\\ \textbf{Example 1 solution}\\ \(\begin{aligned} 8 x^2 y \div 4 x & =(8 \div 4) \times\left(x^2 \div x\right) \times y \\ & =2 x^{2-1} \times y \\ & =2 x y \end{aligned}\) \columnbreak \textbf{Example 2}\\ Simplify \(\dfrac{15 y x^2}{3 x y}\)\\ \textbf{Example 2 solution}\\ \(\begin{aligned} \frac{15 y x^2}{3 x y} & =(15 \div 3) \times \frac{x^2 y}{x y} \\ & =5 x^{2-1} \times \frac{\cancel{y}}{\cancel{y}} \\ & =5 x \end{aligned}\) \end{multicols}](/media/dlajdmf2/6886.png)
NSW Y8 Maths Algebra Dividing Terms
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Dividing Terms - Video - Dividing Terms - Example 1
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