Is the expression $\frac{x^2+2x+1}{\sqrt{x}}$ a rational expression (i.e., a quotient of two polynomials)?

Simplify $\frac{x+5}{2x+10}$ by factoring out the greatest common factor, and state any excluded value.

Simplify $\frac{x^2-5x+6}{x^2-4}\cdot \frac{x+2}{x-3}$ and state any excluded $x$-values.

If the LCD of two denominators is $84$ and one denominator is $28$, what must be multiplied to $28$ to reach the LCD?

Find the LCD for the denominators: $8x$, $12x^2$, and $18x^3$.

Provide the LCD and the rewritten numerators for the following rational expressions: $\frac{1}{x+2}$, $\frac{2}{x^2+3x+2}$, and $\frac{3}{2(x+1)}$.

Which technique is appropriate to factor the quadratic $x^2+5x+6$ in order to simplify rational expressions?

Compute $\frac{1}{2x}+\frac{3}{x+1}$.

State the domain restrictions, if any, for the expression $\frac{x+1}{x^2+x}$.

Which of the following statements correctly distinguishes a rational equation from other equations?

Solve the rational equation $\frac{1}{6}+\frac{1}{x}=\frac{1}{4}$ for $x$.

Solve the following rational equation for $x$:

$\frac{1}{x^2-5x+6}+\frac{1}{x-2}=\frac{1}{x+3}$