What is the fourier transform of e-a|x| * e-b|x|?

• A. \(\frac{4ab}{(a^2+p^2)(b^2+p^2)} \)
• B. \(\frac{2ab}{(a^2+p^2)(b^2+p^2)} \)
• C. \(\frac{4}{(a^2+p^2)(b^2+p^2)} \)
• D. \(\frac{a^2 b^2}{(a^2+p^2)(b^2+p^2)} \)