91Ó°ÊÓ

Approximate each number (a) rounded and (b) truncated to three decimal places. $$ \frac{521}{15} $$

Perform the indicated operation and simplify the result. Leave your answer in factored form. $$ \frac{x^{2}}{2 x-3}-\frac{4}{2 x-3} $$

Use the given real number line to compute each distance. $$ \begin{array}{rrrrrrrrrrr} & A & & B & C & D & & E & & & \\ 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 \\ \hline-4 & -3 & -2 & -1 & 0 & 1 & 2 & 3 & 4 & 5 & 6 \end{array} $$ $$ d(A, E) $$

Use the given real number line to compute each distance. $$ \begin{array}{rrrrrrrrrrr} & A & & B & C & D & & E & & & \\ 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 \\ \hline-4 & -3 & -2 & -1 & 0 & 1 & 2 & 3 & 4 & 5 & 6 \end{array} $$ $$ d(D, B) $$

Add, subtract, or multiply, as indicated. Express your answer as a single polynomial in standard form. $$ \left(x^{2}+1\right)-\left(4 x^{2}+5\right)+\left(x^{2}+x-2\right) $$

Factor the sum or difference of two cubes. $$ 27-8 x^{3} $$

Simplify each expression. Assume that all variables are positive when they appear. $$6 \sqrt{5}-4 \sqrt{5}$$

Approximate each number (a) rounded and (b) truncated to three decimal places. $$ \frac{81}{5} $$

Perform the indicated operation and simplify the result. Leave your answer in factored form. $$ \frac{3 x^{2}}{2 x-1}-\frac{9}{2 x-1} $$

Perform the indicated operation and simplify the result. Leave your answer in factored form. $$ \frac{x+5}{x-4}+\frac{3 x-2}{x-4} $$