Question

write in simplified form.

g(x)=(x^2-4)/(x^3)÷(x^5-2x^4)/(x+4)

i got stuck at (x^-9)x+2/(x^2)x^4(x+3)

Answer 1

(x^2-4)/(x^3)÷(x^5-2x^4)/(x+4)

= (x^2-4)/(x^3)*(x+4)/(x^5 - 2x^4)
= (x+2)(x-2)/x^3 * (x+4)/(x^4(x-2))
= (x+2)(x+4)/x^7