91Ó°ÊÓ

Exercises \(61-82 \text { involve factoring by grouping (Section } 6.1)\) and factoring sums and differences of cubes (Section 6.4). Write each rational expression in lowest terms. $$ \frac{8 y^{3}-27 z^{3}}{9 z^{2}-4 y^{2}} $$

Perform the indicated operations, using the order of operations as necessary. \(\frac{\frac{5}{6}}{\frac{2}{3}}\)

If you are solving a formula for the letter \(k\), and your steps lead to the equation \(k r-m r=k m,\) what would be your next step?

Perform the indicated operations, using the order of operations as necessary. \(\frac{\frac{3}{8}}{\frac{1}{4}}\)

Perform the indicated operations, using the order of operations as necessary. \(\frac{\frac{3}{2}}{\frac{7}{4}}\)

Exercises \(61-82 \text { involve factoring by grouping (Section } 6.1)\) and factoring sums and differences of cubes (Section 6.4). Write each rational expression in lowest terms. $$ \frac{z^{3}+27}{z^{3}-3 z^{2}+9 z} $$

Perform the indicated operations, using the order of operations as necessary. \(\frac{\frac{5}{7}}{\frac{5}{3}}\)

Exercises \(61-82 \text { involve factoring by grouping (Section } 6.1)\) and factoring sums and differences of cubes (Section 6.4). Write each rational expression in lowest terms. $$ \frac{8-27 x^{3}}{27 x^{2}+18 x+12} $$

Which two of the following rational expressions equal \(-1 ?\) A. \(\frac{2 x+3}{2 x-3}\) B. \(\frac{2 x-3}{3-2 x}\) C. \(\frac{2 x+3}{3+2 x}\) D. \(\frac{2 x+3}{-2 x-3}\)

Which one of these rational expressions is not equivalent to \(\frac{x-3}{4-x} ?\) A. \(\frac{3-x}{x-4}\) B. \(\frac{x+3}{4+x}\) C. \(-\frac{3-x}{4-x}\) D. \(-\frac{x-3}{x-4}\)