$$\frac{1}{2m^2} = \frac{1}{m}-\frac{1}{2}$$

$$ \begin{aligned} \frac{1}{2m^2} &= \frac{1}{m}-\frac{1}{2}&& \text{multiply ALL terms by } \color{blue}{ 2m^2m }. \\[1 em]2m^2m\cdot\frac{1}{2m^2} &= 2m^2m\cdot\frac{1}{m}-2m^2m\cdot\frac{1}{2}&& \text{cancel out the denominators} \\[1 em]m &= 2-m&& \text{move the $ \color{blue}{ -m } $ to the left side} \\[1 em]m+m &= 2&& \text{simplify left side} \\[1 em]2m &= 2&& \text{ divide both sides by $ 2 $ } \\[1 em]m &= \frac{2}{2}&& \\[1 em]m &= 1&& \\[1 em] \end{aligned} $$

This page was created using