To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $4\left(m-2\right)^{2}$ and $3\left(m-2\right)$ is $12\left(m-2\right)^{2}$. Multiply $\frac{m+2}{4\left(m-2\right)^{2}}$ times $\frac{3}{3}$. Multiply $\frac{1}{3\left(m-2\right)}$ times $\frac{4\left(m-2\right)}{4\left(m-2\right)}$.
Since $\frac{3\left(m+2\right)}{12\left(m-2\right)^{2}}$ and $\frac{4\left(m-2\right)}{12\left(m-2\right)^{2}}$ have the same denominator, subtract them by subtracting their numerators.
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $4\left(m-2\right)^{2}$ and $3\left(m-2\right)$ is $12\left(m-2\right)^{2}$. Multiply $\frac{m+2}{4\left(m-2\right)^{2}}$ times $\frac{3}{3}$. Multiply $\frac{1}{3\left(m-2\right)}$ times $\frac{4\left(m-2\right)}{4\left(m-2\right)}$.
Since $\frac{3\left(m+2\right)}{12\left(m-2\right)^{2}}$ and $\frac{4\left(m-2\right)}{12\left(m-2\right)^{2}}$ have the same denominator, subtract them by subtracting their numerators.
