Consider the two expressions \(\frac{6x^3+9x^2+4x+7}{2x+3}\) and \(3x^2+2+\frac1{2x+3}.\)
a) Show that the two expressions represent equal numbers when \(x = 10\)
b) Explain why these two expressions do not represent equal numbers when \(x=-\dfrac32.\)
c) Show that these two expressions represent equal numbers for all other than \(-\dfrac32.\)