question_answer

Factorise the given polynomial \[\frac{\mathbf{9}}{\mathbf{16}}{{\mathbf{x}}^{\mathbf{2}}}\mathbf{+}\frac{\mathbf{4}}{\mathbf{9}}{{\mathbf{y}}^{\mathbf{2}}}\mathbf{+4}{{\mathbf{z}}^{\mathbf{2}}}\mathbf{-xy-}\frac{\mathbf{8}}{\mathbf{3}}\mathbf{yz+3zx}\mathbf{.}\]

A) \[{{\left( \frac{3}{4}x-\frac{2}{3}y+2z \right)}^{2}}\]

B)                    \[{{\left( \frac{3}{4}x+\frac{2}{3}y+2z \right)}^{2}}\]

C) \[{{\left( \frac{3}{4}x+\frac{2}{3}y-2z \right)}^{2}}\]

D)        \[{{\left( \frac{3}{4}x-\frac{2}{3}y-2z \right)}^{2}}\]

E) None of these