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)} )