Question

x+5/x²+5x -x+25/2x²-50 =

Answer 1

$frac{x+5}{x^2-5x}- frac{x+25}{2x^2-50} = frac{x+5}{x(x-5)} - frac{x+25}{2(x^2-25)} =frac{x+5}{x(x-5)} - frac{x+25}{2(x-5)(x+5)} = \ \ = frac{2(x+5)(x+5)-x(x+25)}{2x(x-5)(x+5)} = frac{2(x^2+10x+25)-x^2-25x}{2x(x-5)(x+5)} = frac{2x^2+20x+50-x^2-25x}{2x(x-5)(x+5)} = \ \ = frac{x^2-5x+50}{2x(x-5)(x+5)}$