question_answer

Find the product of \[\left\{ 3{{x}^{2}}yz\times \frac{4}{5}(x+y)z \right\}\times \left\{ -\frac{3}{17}{{x}^{3}}y{{z}^{4}}(x+y+3z) \right\}\]

A) \[\frac{-36}{85}{{x}^{5}}{{y}^{2}}{{z}^{6}}\left[ {{x}^{2}}+\text{ }2xy\text{ }+\text{ }{{y}^{2}}\,\,+\text{ }3xz\text{ }+\text{ }3yz \right]\]

B) \[\frac{36}{85}{{x}^{5}}y{{z}^{5}}\left[ {{x}^{2}}+\text{ 3}xy\text{ }+\text{ }{{y}^{3}}\,\,+\text{ }3xz\text{ }+\text{ }3yz \right]\]

C) \[\frac{36}{85}{{x}^{5}}{{y}^{2}}{{z}^{5}}\left[ {{x}^{2}}+\text{ 2}xy\text{ }+\text{ }{{y}^{2}}\,\,+\text{ 2}xz\text{ }+\text{ }3yz \right]\]

D) \[\frac{-36}{85}{{x}^{5}}y{{z}^{6}}\left[ {{x}^{2}}+\text{ 2}x{{y}^{2}}\text{ }+\text{ }y\,\,+\text{ 3}xz\text{ }+\text{ }3yz \right]\]

E) None of these