004 Sample Final A, Problem 6

Simplify.      ${\frac {1}{3x+6}}-{\frac {x}{x^{2}-4}}+{\frac {3}{x-2}}$

Foundations
How do you simplify ${\frac {1}{x}}+{\frac {1}{x+2}}$ into one fraction?
Answer:
You need to get a common denominator. The common denominator is $x(x+2)$. So,
${\frac {1}{x}}+{\frac {1}{x+2}}={\frac {x+2}{x(x+2)}}+{\frac {x}{x(x+2)}}={\frac {2x+2}{x(x+2)}}$.

Solution:

Step 1:

Step 2:

Step 3:

Step 4:

Final Answer:

Return to Sample Exam