adding, subtracting ratnl expressions: (9x+3/x^2-9)-(5/x-3)
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skeeter
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\(\displaystyle \L \frac{9x+3}{x^2 - 9} - \frac{5}{x-3}\)
\(\displaystyle \L \frac{9x+3}{(x+3)(x-3)} - \frac{5}{x-3}\)
\(\displaystyle \L \frac{9x+3}{(x+3)(x-3)} - \frac{5(x+3)}{(x+3)(x-3)}\)
\(\displaystyle \L \frac{(9x+3) - 5(x+3)}{(x+3)(x-3)}\)
\(\displaystyle \L \frac{9x+3 - 5x-15}{(x+3)(x-3)}\)
\(\displaystyle \L \frac{4x-12}{(x+3)(x-3)}\)
\(\displaystyle \L \frac{4(x-3)}{(x+3)(x-3)}\)
\(\displaystyle \L \frac{4}{x+3}\)
\(\displaystyle \L \frac{9x+3}{(x+3)(x-3)} - \frac{5}{x-3}\)
\(\displaystyle \L \frac{9x+3}{(x+3)(x-3)} - \frac{5(x+3)}{(x+3)(x-3)}\)
\(\displaystyle \L \frac{(9x+3) - 5(x+3)}{(x+3)(x-3)}\)
\(\displaystyle \L \frac{9x+3 - 5x-15}{(x+3)(x-3)}\)
\(\displaystyle \L \frac{4x-12}{(x+3)(x-3)}\)
\(\displaystyle \L \frac{4(x-3)}{(x+3)(x-3)}\)
\(\displaystyle \L \frac{4}{x+3}\)