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

1 Answer
Dec 26, 2017

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.))