CPM Homework Help : PC3 Problem 3-42

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3-42.

Simplify each of the following expressions.

$\frac { 2 x - 5 } { 6 } + \frac { x + 1 } { 8 }$
Step (a):
$\frac{(2x-5)}{6}\cdot\frac{4}{4}+\frac{(x+1)}{8}\cdot\frac{3}{3}$

$\large \frac { x } { x ^ { 2 } + 2 x - 8 } + \frac { 2 } { x + 4 }$
Step (b):
$\frac{x}{(x+4)(x-2)}+\frac{2}{(x+4)}\cdot\frac{(x-2)}{(x-2)}$

$\large \frac { 2 x - 3 x ^ { 2 } } { 4 x ^ { 3 } }$
Step (c):
$\frac{x(2-3x)}{x(4x^2)}$

$\large \frac { 2 x ^ { - 1 } - 3 x ^ { - 2 } } { 4 x ^ { - 3 } }$
Step 1 (d):
$\large \frac{\frac{2}{x}-\frac{3}{x^2}}{\frac{4}{x^3}}$
Step 2 (d):
$\large \frac{\frac{2}{x}-\frac{3}{x^2}\cdot\Big(\frac{x^3}{1}\Big)}{\frac{4}{x^3}\cdot\Big(\frac{x^3}{1}\Big)}$

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