004 Sample Final A, Problem 6

Simplify.      Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \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:

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Step 4:

Final Answer:

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