CPM Homework Help : A2C Problem 10-53

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Home > A2C > Chapter 10 > Lesson 10.1.2 > Problem 10-53

10-53.

Simplify each expression.

$\frac { 1 } { x + 2 } + \frac { 3 } { x ^ { 2 } - 4 }$
Hint (a):
$\frac{1}{x+2}+\frac{3}{(x+2)(x-2)}$
More Help (a):
$\frac{(x-2)}{(x+2)(x-2)}+\frac{3}{(x+2)(x-2)}$
Answer (a):
$\frac{x+1}{x^{2}-4}$

$\frac { 3 } { 2 x + 4 } - \frac { x } { x ^ { 2 } + 4 x + 4 }$
Hint (b):
See part (a).
Answer (b):
$\frac{x+6}{2(x+2)^{2}}$

$\frac { x ^ { 2 } + 5 x + 6 } { x ^ { 2 } - 9 } \cdot \frac { x - 3 } { x ^ { 2 } + 2 x }$
Hint (c):
Factor before trying to simplify.
Answer (c):
$\frac{1}{x}$

$\frac { 4 } { x - 2 } \div \frac { 8 } { 2 - x }$
Hint (d):
$\frac{4}{x-2}\div \frac{8}{-(x-2)}$

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