Question

Quais são os passos para simplificar isto:
((a²+4a+3) / (a³-9a)) * ((a-3)/2)

Sei que a resposta dá (a + 1) / 2a
mas como?? Grato

Answer 1

$(\frac{a^2+4a+3}{a^3-9a} )(\frac{a-3}{2} )\\\\\frac{(a^3+4a^2+3a-3a^2-12a-9}{2a^3-18a} \\\\\frac{a^3+a^2-9a-9}{2a^3-18a}\\\\ \frac{(a+1)(a^2-9)}{2a(a^2-9)} \\\\\frac{a+1}{2a}$