Use the example and the procedures you wrote to add the following rational expressions:
a) \(\Large \frac{1}{x+3}+\frac{1}{x+5}\)
b) \(\Large \frac{2}{x+7}+\frac{3}{x+7}\)
c) \(\Large \frac{3+x}{x+7}+\frac{4+x}{x+5}\)
d) \(\Large \frac{x-3}{x+8}+\frac{x+1}{x-6}\)
Answers:
(Check to see if you have the right answers which are listed below. They are not in order, and there is one extra answer.)
\(\Large \frac{2x^2+26}{x^2+2x-48} \hspace{5mm} \frac{5}{x+7} \hspace{5mm} \frac{2x^2+19x+43}{x^2+12x+35} \hspace{5mm} \frac{x^2+26}{x^2+2x-48} \hspace{5mm} \frac{2x+8}{x^2+8x+15}\)
What did you notice? For extra practice try the same procedures with some subtraction problems. Don’t forget to distribute the subtraction sign to the terms in the subtrahend.
