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1. |
The product of the polynomials, \[(3{{u}^{2}}v-5u{{v}^{2}})\] and \[\left( \frac{1}{5}{{u}^{2}}+\frac{1}{5}{{v}^{2}} \right)\] is |
A. | \[\frac{3}{5}{{u}^{4}}v-{{u}^{3}}{{v}^{2}}-u{{v}^{4}}+\frac{3}{5}{{u}^{2}}{{v}^{3}}\] |
B. | \[\frac{{{u}^{4}}v}{5}-2u{{v}^{2}}\,+{{u}^{2}}{{v}^{3}}\,-\frac{5u{{v}^{4}}}{3}\] |
C. | \[\frac{3{{u}^{4}}v}{5}-4{{v}^{2}}+4{{u}^{2}}{{v}^{3}}-\frac{5u{{v}^{4}}}{3}\] |
D. | \[\frac{3{{u}^{4}}v}{5}-{{u}^{3}}{{v}^{2}}+{{u}^{2}}{{v}^{3}}-5u{{v}^{4}}\] |
Answer» B. \[\frac{{{u}^{4}}v}{5}-2u{{v}^{2}}\,+{{u}^{2}}{{v}^{3}}\,-\frac{5u{{v}^{4}}}{3}\] | |