CPM Homework Help : A2C Problem 6-30

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6-30.

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

$\frac { ( x + 2 ) ( x - 3 ) } { ( x + 1 ) ( x - 4 ) } \cdot \frac { ( x + 1 ) } { x ( x + 2 ) }$
Answer (a):
$\frac{\textit{x}-3}{\textit{x}(\textit{x}-4)}$

$\frac { x ^ { 2 } + 5 x + 6 } { x ^ { 2 } - 4 } \cdot \frac { 4 } { x + 3 }$
Hint (b):
$\frac{(\textit{x}+2)(\textit{x}+3)}{(\textit{x}+2)(\textit{x}-2)}\cdot \frac{4}{\textit{x}+3}$

$\frac { 2 x } { x + 4 } + \frac { 8 } { x + 4 }$
Hint (c):
Try factoring after adding.
Answer (c):
$2$

$\frac { x } { x + 1 } - \frac { 1 } { x + 1 }$
Hint (d):
Add the fractions.

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