question_answer

Factorise:\[\frac{16}{25}\,\,{{x}^{2}}\,\,\frac{9}{16}\,\,{{y}^{2}}\,\,+\,\,9{{z}^{2}}-\,\,\frac{6}{5}\,\,xy\,\,-\,\,\frac{9}{2}\,\,yz\,\,+\,\frac{24}{5}\,\,zx\]

A)  \[{{\left( \frac{4}{5}\,\,x+\,\,\frac{3}{4}\,\,y-3z \right)}^{2}}\]   

B)  \[{{\left( \frac{4}{5}\,\,x\,\,-\,\,\frac{3}{4}\,\,y\,\,+3z \right)}^{2}}\]

C)  \[\frac{48\,y-64}{3}\]               

D)  \[{{\left( \frac{4}{5}\,\,x\,+\,\,\frac{3}{4}\,\,y+3z \right)}^{2}}\]

E)  None of these