a:
ĐKXĐ: \(x\notin\left\{\dfrac{1}{3};-\dfrac{1}{3}\right\}\)
\(\dfrac{9x^2+6x+1}{9x^2-1}\)
\(=\dfrac{\left(3x+1\right)^2}{\left(3x-1\right)\left(3x+1\right)}\)
\(=\dfrac{3x+1}{3x-1}\)
\(\dfrac{9x^2+3x+1}{27x^3-1}\)
\(=\dfrac{\left(3x\right)^2+3x\cdot1+1^2}{\left(3x-1\right)\left(9x^2+3x+1\right)}\)
\(=\dfrac{1}{3x-1}\)