The product of the polynomials \((3u^{2}v - 5uv^{2})\) and \(\left(...

The product of the polynomials \((3u^{2}v - 5uv^{2})\) and \(\left(\frac{1}{5}u^{2} + \frac{1}{5}v^{2}\right)\) is

A. \(\frac{3}{5}u^{4}v - u^{3}v^{2} - uv^{4} + \frac{3}{5}u^{2}v^{3}\)

B. \(\frac{u^{4}v}{5} - 2uv^{2} + u^{2}v^{3} - \frac{5uv^{4}}{3}\)

C. \(\frac{3u^{4}v}{5} - 4v^{2} + 4u^{2}v^{3} - \frac{5uv^{4}}{3}\)

D. \(\frac{3u^{4}v}{5} - u^{3}v^{2} + u^{2}v^{3} - 5uv^{4}\)