CPM Homework Help : PC3 Problem 3-78

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3-78.

Compute the following operations with rational expressions.

$\frac { x + 2 } { x - 1 } + \frac { x } { x + 1 }$
Step 1 (a):
$\frac{(x+2)(x+1)}{(x-1)(x+1)}+\frac{(x)(x-1)}{(x+1)(x-1)}$
Step 2 (a):
$\large\frac{(x^2+x+2x+2)+(x^2-x)}{x^2+x-x-1}$
Step 3 (a):
$\large\frac{2x^2+2x+2}{x^2-1}$

$\frac { c } { a - b } + \frac { c } { a + b }$
Hint (b):
Review the steps outlined in part (a).

$\frac { x + 2 } { 3 x } - \frac { x + 1 } { 6 x ^ { 2 } }$
Hint (c):
Use a Giant $1$ of $\frac{2x}{2x}$ for the first fraction to create a common denominator.

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