Question

4/у-2/у-5+2у/25-у^2-10/у^2-25 упростите выражение

Answer 1

$frac{4}{y} - frac{2}{y-5} + frac{2y}{25-y^2} - frac{10}{y^2-25} = \ \ = frac{4}{y} - frac{2}{y-5}+ frac{2y}{-(y^2-5^2)}- frac{10}{y^2-5^2} = \ \ = frac{4}{y} - frac{2}{y-5}- frac{2y}{(y-5)(y+5)}- frac{10}{(y-5)(y+5)} = \ \ = frac{4(y^2-25) -2*y(y+5) -2y*y -10*y}{y(y-5)(y+5)} = \ \ = frac{4y^2-100-2y^2-10y -2y^2-10y}{y(y-5)(y+5))} = \ \ = frac{20y-100}{y(y-5)(y+5)} = frac{-20(y+5)}{y(y-5)(y+5)} = \ \ = - frac{20}{y(y-5)} = - frac{20}{y^2-5y}$

Answer 2

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