1.

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


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