\[\begin{array}{rl}\dfrac{1-\dfrac{1}{x^2}}{1-\dfrac{1}{x}}&\text{Multiply each term by the LCD}=x^2 \\ \dfrac{1\cdot\color{blue}{x^2}\color{black}{}-\dfrac{1}{x^2}\cdot\color{blue}{x^2}}{1\color{blue...\[\begin{array}{rl}\dfrac{1-\dfrac{1}{x^2}}{1-\dfrac{1}{x}}&\text{Multiply each term by the LCD}=x^2 \\ \dfrac{1\cdot\color{blue}{x^2}\color{black}{}-\dfrac{1}{x^2}\cdot\color{blue}{x^2}}{1\color{blue}{x^2}\color{black}{}-\dfrac{1}{x}\cdot\color{blue}{x^2}}&\color{black}{\text{Simplify each term}} \\ \dfrac{x^2-1}{x^2-x}&\text{Factor the numerator and denominator} \\ \dfrac{(x+1)(x-1)}{x(x-1)}&\text{Reduce by a factor of }(x-1) \\ \dfrac{(x+1)\color{blue}{\cancel{(x-1)}}}{x\color{blue}{\cancel{…
