Question

Combine as indicated by the signs. Write variables alphabetically in your answer. 3/x+1/xyz+2/xy

Answer 1

`(3yz+2z+1)/(xyz)` should be your answer

Answer 2

`(3yz+2z+1)/(xyz)`

Explanation:

Given expression,

`(3)/(x)+(1)/(xyz)+(2)/(xy)`

∵LCM(x, xyz, xy) = xyz,

`(3)/(x)=(3yz)/(xyz)`

`(2)/(xy)=(2z)/(xy)`

`\implies (3)/(x)+(1)/(xyz)+(2)/(xy)=(3yz)/(xyz)+(1)/(xyz)+(2z)/(xyz)`

`=(3yz+1+2z)/(xyz)`

`=(3yz+2z+1)/(xyz)`