Answer:
[tex]\frac{3yz+2z+1}{xyz}[/tex]
Step-by-step explanation:
Given expression,
[tex]\frac{3}{x}+\frac{1}{xyz}+\frac{2}{xy}[/tex]
∵LCM(x, xyz, xy) = xyz,
[tex]\frac{3}{x}=\frac{3yz}{xyz}[/tex]
[tex]\frac{2}{xy}=\frac{2z}{xy}[/tex]
[tex]\implies \frac{3}{x}+\frac{1}{xyz}+\frac{2}{xy}=\frac{3yz}{xyz}+\frac{1}{xyz}+\frac{2z}{xyz}[/tex]
[tex]=\frac{3yz+1+2z}{xyz}[/tex]
[tex]=\frac{3yz+2z+1}{xyz}[/tex]
