### Home > AC > Chapter 13 > Lesson 13.IF2-S > Problem6-30

6-30.

Perform the indicated operation to simplify each of the following expressions. In some cases, factoring may help you simplify.

1. $\frac { ( x + 2 ) ( x - 3 ) } { ( x + 1 ) ( x - 4 ) } \cdot \frac { ( x + 1 ) } { x ( x + 2 ) }$

$\frac{\textit{x}-3}{\textit{x}(\textit{x}-4)}$

1. $\frac { x ^ { 2 } + 5 x + 6 } { x ^ { 2 } - 4 } \cdot \frac { 4 } { x + 3 }$

$\frac{(\textit{x}+2)(\textit{x}+3)}{(\textit{x}+2)(\textit{x}-2)}\cdot \frac{4}{\textit{x}+3}$

1. $\frac { 2 x } { x + 4 } + \frac { 8 } { x + 4 }$

$2$
1. $\frac { x } { x + 1 } - \frac { 1 } { x + 1 }$