Chapter A, Problem 50E

To determine

To calculate: The simplest form of the expression $\frac{{\left(4x^2+9\right)}^{\frac{1}{2}}\left(2\right)-\left(2x+3\right)\left(\frac{1}{2}\right){\left(4x^2+9\right)}^{-\frac{1}{2}}\left(8x\right)}{{\left[{\left(4x^2+9\right)}^{\frac{1}{2}}\right]}^2}$.