CPM Homework Help : CCA2 Problem 4-69

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4-69.

Add, subtract, multiply, or divide the following rational expressions. Then simplify your expression, if possible.

Hint:

See problems 3-103 and 3-113.

$\frac { x - 4 } { 2 x ^ { 2 } + 9 x - 5 } + \frac { x + 3 } { x ^ { 2 } + 5 x }$
Hint (a):
In parts (a) and (b) you are adding and subtracting fractions. Therefore you will need a common denominator.

$\frac { 4 x ^ { 2 } - 11 x + 6 } { 2 x ^ { 2 } - x - 6 } - \frac { x + 2 } { 2 x + 3 }$
Answer (b):
$\frac{3x-5}{2x+3}$

$\frac { ( x + 4 ) ( 2 x - 1 ) ( x - 7 ) } { ( x + 8 ) ( 2 x - 1 ) ( 3 x - 4 ) } \div \frac { ( 4 x - 3 ) ( x - 7 ) } { ( x + 8 ) ( 3 x - 4 ) }$

$\frac { 2 m ^ { 2 } + 7 m - 15 } { m ^ { 2 } - 16 } \cdot \frac { m ^ { 2 } - 6 m + 8 } { 2 m ^ { 2 } - 7 m + 6 }$
Hint (d):
Factor each expression.
Then remove factors that create Giant Ones.
Answer (d):
$\frac{m+5}{m+4}$

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