Question

1. simplifique la expresión (x-10)/(x2+3x-10)-(2x+4)/(x2-4) es:

Answer 1

$\frac{x-10}{x^{2}+3x-10} -\frac{2x+4}{x^{2}-4} =\frac{x-10}{(x+5)(x-2)} -\frac{2(x+2)}{(x-2)(x+2)} =\frac{x-10}{(x+5)(x-2)} -\frac{2}{x-2} =\frac{x-10}{(x+5)(x-2)} -\frac{2(x+5)}{(x+5)(x-2)} =\frac{x-10-2(x+5)}{(x+5)(x-2)} =\frac{x-10-2x-10}{(x+5)(x-2)}=\frac{-x-20}{(x+5)(x-2)}$