Question

Please help me understand how to do this problem and simplify. 1/x+2 + 1/x-2

Answer 1

Have a common denominator

Answer 2

\[
\frac{1}{x+2}+\frac{1}{x-2}=\frac{x-2}{x^2-4}+\frac{x+2}{x^2-4}
\]
Can you finish it now?

Answer 3

\[
\frac{1}{x+2}+\frac{1}{x-2}=\frac{x-2}{x^2-4}+\frac{x+2}{x^2-4}=\frac{2
x}{x^2 -4}
\]