To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $2x^{2}$ and $4x$ is $4x^{2}$. Multiply $\frac{x^{2}+3x-2}{2x^{2}}$ times $\frac{2}{2}$. Multiply $\frac{2x-5}{4x}$ times $\frac{x}{x}$.
Since $\frac{2\left(x^{2}+3x-2\right)}{4x^{2}}$ and $\frac{\left(2x-5\right)x}{4x^{2}}$ 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 $2x^{2}$ and $4x$ is $4x^{2}$. Multiply $\frac{x^{2}+3x-2}{2x^{2}}$ times $\frac{2}{2}$. Multiply $\frac{2x-5}{4x}$ times $\frac{x}{x}$.
Since $\frac{2\left(x^{2}+3x-2\right)}{4x^{2}}$ and $\frac{\left(2x-5\right)x}{4x^{2}}$ have the same denominator, subtract them by subtracting their numerators.
