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