Question

Упростить выражение$frac{a^{2} + y^{2}}{ay- y^{2} } - frac{2a}{a-y}$

Answer 1

$frac{a^2+y^2}{ay-y^2} - frac{2a}{a-y} = frac{a^2+y^2}{y(a-y)} - frac{2a}{a-y}= \ \ = frac{a^2+y^2 -2a*y}{y(a-y)} = frac{(a^2-2ay+y^2)}{y(a-y)} = \ \ = frac{(a-y)^2}{y(a-y)} = frac{a-y}{y} = frac{1}{y} (a-y)$