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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 $-\dfrac32.$