EDGE Math 8

Perform the indicated operations and simplify the resulting expression. Choose the correct answer.

1.	$\frac{4 m - 16}{m^{2} - 4} \cdot \frac{m^{2} - m - 2}{6 m - 12}$

\frac{2 m^{2} - 6 m - 8}{3 m^{2} - 12}

\frac{2 m^{2} - 6 m - 8}{3 m^{2} - 12 m - 12}

\frac{m^{2} - 3 m - 4}{m^{2} - 4}

none of the choices

Answer: $\frac{2 m^{2} - 6 m - 8}{3 m^{2} - 12}$

2.	$\frac{p^{3} - 8}{3 p - 6} \cdot \frac{6 {(p - 2)}^{3}}{p^{2} - 4}$

\frac{p^{4} - 2 p^{3} - 8 p + 16}{p + 2}

\frac{2 p^{4} - 4 p^{3} - 16 p + 32}{p + 2}

\frac{2 p^{4} - 2 p^{3} - 8 p + 16}{p + 2}

none of the choices

Answer: $\frac{2 p^{4} - 4 p^{3} - 16 p + 32}{p + 2}$

3.	$\frac{a^{3} - 1}{2 a - 2} \cdot \frac{8 {(a - 1)}^{4}}{a^{2} + a + 1}$

4 {(a - 1)}^{4}

4 {(a - 1)}^{3}

{(a - 1)}^{4}

none of the choices

Answer: $4 {(a - 1)}^{4}$

4.	$\frac{x - 2}{2 x + 6} \cdot \frac{x + 1}{x^{2} - 4} \cdot \frac{4 x + 12}{x^{2} + 2 x + 1}$

\frac{2}{x + 2}

\frac{2}{x + 1}

\frac{2}{x^{2} + 3 x + 2}

none of the choices

Answer: $\frac{2}{x^{2} + 3 x + 2}$

5.	$\frac{12}{x^{2} - 1} \cdot \frac{1 - 3 x + 2 x^{2}}{x^{2} - 4} \cdot \frac{5 x + 10}{14}$

\frac{60 x - 30}{7 x^{2} - 7 x - 14}

\frac{x - 2}{x^{2} - x - 2}

\frac{60}{7 x + 14}

none of the choices

Answer: $\frac{60 x - 30}{7 x^{2} - 7 x - 14}$

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