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