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