Chapter 0.B, Problem 3DT

To determine

(a)

To simplify:

The rational expression $\frac{x^2+4x+3}{x^2-2x-3}.$

To determine

(b)

To simplify:

The rational expression $\frac{2x^2-3x-2}{x^2-1}\cdot \frac{x+1}{2x+1}.$

To determine

(c)

To simplify:

The rational expression $\frac{x^2-x}{x^2-9}-\frac{x+1}{x+3}.$

To determine

(d)

To simplify:

The rational expression $\frac{\frac{1}{x}-\frac{1}{y}}{\frac{2}{xy}}.$