CPM Homework Help : CCA2 Problem 12-56

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12-56.

Rewrite each sum below as a single expression.

$\frac { 1 } { 2 }+\frac { 1 } { 3 }$
Hint (a):
Find a common denominator.

$\frac { 3 } { 2 x } + \frac { 4 } { x ^ { 2 } }$
Hint (b):
What do you need to multiply each term by to have a common denominator? It's similar to part (a).
Answer (b):
$\frac{3x + 8}{2x^2}$

$\frac { x } { x + 1 } + \frac { 3 } { x - 1 }$
Hint (c):
Use the same method as part (b).

$\frac { \operatorname { sin } \theta } { \operatorname { cos } \theta } + \frac { 1 } { \operatorname { sin } \theta }$
Answer (d):
$\frac{\sin^2\theta+\cos\theta}{\sin\theta\cos\theta}$

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