## Elementary Algebra

$\frac{y}{(x-2)}$
We first factor the denominator of the fraction: $\frac{xy}{x^{2}-2x}$ $\frac{xy}{x(x-2)}$ Cancelling $x$ as it is common to both numerator and denominator, we obtain: $\frac{xy}{x(x-2)}=\frac{y}{(x-2)}$