To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $\left(x-3\right)\left(x-2\right)$ and $\left(x-3\right)^{2}$ is $\left(x-2\right)\left(x-3\right)^{2}$. Multiply $\frac{x-7}{\left(x-3\right)\left(x-2\right)}$ times $\frac{x-3}{x-3}$. Multiply $\frac{x-2}{\left(x-3\right)^{2}}$ times $\frac{x-2}{x-2}$.
Since $\frac{\left(x-7\right)\left(x-3\right)}{\left(x-2\right)\left(x-3\right)^{2}}$ and $\frac{\left(x-2\right)\left(x-2\right)}{\left(x-2\right)\left(x-3\right)^{2}}$ have the same denominator, add them by adding their numerators.
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $\left(x-3\right)\left(x-2\right)$ and $\left(x-3\right)^{2}$ is $\left(x-2\right)\left(x-3\right)^{2}$. Multiply $\frac{x-7}{\left(x-3\right)\left(x-2\right)}$ times $\frac{x-3}{x-3}$. Multiply $\frac{x-2}{\left(x-3\right)^{2}}$ times $\frac{x-2}{x-2}$.
Since $\frac{\left(x-7\right)\left(x-3\right)}{\left(x-2\right)\left(x-3\right)^{2}}$ and $\frac{\left(x-2\right)\left(x-2\right)}{\left(x-2\right)\left(x-3\right)^{2}}$ have the same denominator, add them by adding their numerators.
