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\frac{xx}{xy\left(x-y\right)}-\frac{yy}{xy\left(x-y\right)}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of y\left(x-y\right) and x\left(x-y\right) is xy\left(x-y\right). Multiply \frac{x}{y\left(x-y\right)} times \frac{x}{x}. Multiply \frac{y}{x\left(x-y\right)} times \frac{y}{y}.
\frac{xx-yy}{xy\left(x-y\right)}
Since \frac{xx}{xy\left(x-y\right)} and \frac{yy}{xy\left(x-y\right)} have the same denominator, subtract them by subtracting their numerators.
\frac{x^{2}-y^{2}}{xy\left(x-y\right)}
Do the multiplications in xx-yy.
\frac{\left(x+y\right)\left(x-y\right)}{xy\left(x-y\right)}
Factor the expressions that are not already factored in \frac{x^{2}-y^{2}}{xy\left(x-y\right)}.
\frac{x+y}{xy}
Cancel out x-y in both numerator and denominator.
\frac{xx}{xy\left(x-y\right)}-\frac{yy}{xy\left(x-y\right)}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of y\left(x-y\right) and x\left(x-y\right) is xy\left(x-y\right). Multiply \frac{x}{y\left(x-y\right)} times \frac{x}{x}. Multiply \frac{y}{x\left(x-y\right)} times \frac{y}{y}.
\frac{xx-yy}{xy\left(x-y\right)}
Since \frac{xx}{xy\left(x-y\right)} and \frac{yy}{xy\left(x-y\right)} have the same denominator, subtract them by subtracting their numerators.
\frac{x^{2}-y^{2}}{xy\left(x-y\right)}
Do the multiplications in xx-yy.
\frac{\left(x+y\right)\left(x-y\right)}{xy\left(x-y\right)}
Factor the expressions that are not already factored in \frac{x^{2}-y^{2}}{xy\left(x-y\right)}.
\frac{x+y}{xy}
Cancel out x-y in both numerator and denominator.