Question

Al simplificar la fracción siguiente, resulta:


Ayuda pls​

Answer 1

Respuesta:

(a - 5)/(2(a - 1))

Explicación paso a paso:

$\mathrm{Simplificar} \\\\\\ \displaystyle = \frac{a^3-25a}{2a^3+8a^2-10a} \\\\\\ = \frac{a(a^2-25)}{2a^3+8a^2-10a} \\\\\\ = \frac{a(a+5)(a-5)}{2a^3+8a^2-10a} \\\\\\ = \frac{a(a+5)(a-5)}{2a(a^2+4a-5)} \\\\\\ = \frac{a(a+5)(a-5)}{2a(a-1)(a+5)} \\\\\\ = \frac{(a+5)(a-5)}{(2(a+1))(a+5)} \\\\\\ = \boxed{ \frac{a-5}{2(a-1)} }$