Question

x^2 - y^2 / x^2 + xy + y^2 .Найти значение при x/y = 1/2

Answer 1

$frac{x^2-y^2}{x^2-2xy+y^2} = frac{(x-y)(x+y)}{(x-y)^2} = frac{x-y}{x+y} \ frac{1}{2} - frac{2}{1} = frac{1-4}{2}= -frac{3}{2} =-1.5$