Question

Сократите
$\frac{x(y-a)-y(x-a)}{x (y-a)^{2}-y (x-a)^{2} }$

Answer 1

х(y-a)-y(x-a) / х(y-a)²-y(x-a)²=xy-ax-xy+ay / x(y²-2ay+a²)-y(x²-2ax+a²)=
ay-ax / xy²-2axy+a²x-x²y+2axy-a²y=a(y-x) / xy(y-x)-a²(y-x)=a(y-x) / (y-x)(xy-a²)=
a / (xy-a²)