91Ó°ÊÓ

Factor the sum or difference of two cubes. $$ x^{3}+125 $$

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

Simplify each expression. Assume that all variables are positive when they appear. $$(5 \sqrt{8})(-3 \sqrt{3})$$

Approximate each number (a) rounded and (b) truncated to three decimal places. $$ \frac{5}{9} $$

Perform the indicated operation and simplify the result. Leave your answer in factored form. $$ \frac{3}{x}-\frac{6}{x} $$

Find the volume \(V\) and surface area \(S\) of a closed right circular cylinder with radius 8 inches and height 9 inches.

Add, subtract, or multiply, as indicated. Express your answer as a single polynomial in standard form. $$ 8\left(4 x^{3}-3 x^{2}-1\right)-6\left(4 x^{3}+8 x-2\right) $$

Simplify each expression. Assume that all variables are positive when they appear. $$3 \sqrt{2}+4 \sqrt{2}$$

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

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