question_answer

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

A) \[\frac{3}{5}{{u}^{4}}v-{{u}^{3}}{{v}^{2}}-u{{v}^{4}}+\frac{3}{5}{{u}^{2}}{{v}^{3}}\]

B) \[\frac{{{u}^{4}}v}{5}-2u{{v}^{2}}+{{u}^{2}}{{v}^{3}}-\frac{5u{{v}^{4}}}{3}\]

C) \[\frac{3{{u}^{4}}v}{5}-{{u}^{3}}{{v}^{2}}+{{u}^{2}}{{v}^{3}}-5u{{v}^{4}}\]

D) All of these

E) None of these