Question

How do you combine `3/y+2/(y-6)`?

Answer 1

`(5y-18)/(y(y-6))`

Explanation:

`=(3(y-6)+(2y))/(y(y-6))`

`=(3y-18+2y)/(y(y-6))`

`=(5y-18)/(y(y-6))`

Answer 2

`(5y-18)/(y(y-6))`

Explanation:

`"to combine the fractions we require them to have a "`
`color(blue)"common denominator"`

`"the common denominator is "y(y-6)`

`"this means multiplying the numerator/denominator of"`

`3/y" by "(y-6)" and "2/(y-6)" by y"`

`rArr(3(y-6))/(y(y-6))+(2y)/(y(y+6))`

`"now simplify the numerator leaving the denominator"`

`=(3y-18+2y)/(y(y-6))=(5y-18)/(y(y-6))`