Question

How do you simplify `(4/(7y-2)+(7y)/(2-7y))((y+5)/6-(y+3)/6)`?

Answer 1

`2/(3(7y-2))-1/3`

Explanation:

`(4/(7y-2)+(7y)/(2-7y)).((y+5)/6-(y+3)/6)`
`=((4)/(7y-2)-(7y)/(7y-2)).((y+5-y-3)/6)`
`=((4-7y)/(7y-2))(2/6)`
`=-((7y-4)/(7y-2))1/3`
`=-((7y-2-2)/(7y-2))1/3`
`=-(color(green)cancel(7y-2)/color(green)cancel(7y-2)-2/(7y-2))1/3`
`=-(1-2/(7y-2))1/3`
`=(2/(7y-2)-1)1/3`
`=2/(3(7y-2))-1/3color(blue)((ans.))`