b: \(P=\dfrac{2\left(2x+1\right)\left(2x-3\right)+3\left(4x^2-9\right)-\left(6x+5\right)\left(2x+1\right)}{\left(2x+3\right)\left(2x+1\right)\left(2x-3\right)}\)
\(=\dfrac{4x^2-8x-6+12x^2-27-12x^2-16x-5}{\left(2x+3\right)\left(2x+1\right)\left(2x-3\right)}\)
\(=\dfrac{4x^2-24x-38}{\left(2x+3\right)\left(2x+1\right)\left(2x-3\right)}\)