Question 1007510
We can factor numerator and denominator to get
{{{f(x) = (16x^2 - 9) / (512x^3 + 216)}}}=
{{{f(x) = (4x+3)(4x-3) / 8(4x+3)(16x^2-12x+9)}}}=
{{{f(x) = (4x-3) / 8(16x^2-12x+9)}}}