Question

x-10 sobre x al cuadrado +3x-10 - 2x+4 sobre x al cuadrado-4

Answer 1

Respuesta:

\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)}

x

2

+3x−10

x−10

−

x

2

−4

2x+4

=

(x+5)(x−2)

x−10

−

(x−2)(x+2)

2(x+2)

=

(x+5)(x−2)

x−10

−

x−2

2

=

(x+5)(x−2)

x−10

−

(x+5)(x−2)

2(x+5)

=

(x+5)(x−2)

x−10−2(x+5)

=

(x+5)(x−2)

x−10−2x−10

=

(x+5)(x−2)

−x−20