CPM Homework Help : PCT Problem 2-61

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2-61.

Use the Math Note above to simplify the following rational expressions.

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

$\frac { 4 } { 2 - x } + \frac { x } { 5 }$
Step (b):
$\frac{4}{2-x}\cdot\frac{5}{5}+\frac{x}{5}\cdot\frac{2-x}{2-x}$

$\frac { 6 } { x + 2 } - \frac { 4 } { x - 2 }$
Step 1(c):
$\frac{6}{x+2}\cdot\frac{x-2}{x-2}-\frac{4}{x-2}\cdot\frac{x+2}{x+2}$
Step 2(c):
$\frac{6x-12}{x^2-4}-\frac{4x+8}{x^2-4}$

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