Question

What is the simplified form of 5 over 3y minus 2 - 4 over 9 y-squared minus 4 ?

Answer 1

(5/3y) - (2) - (4/9y) - (4)^(1/2)
You can use the trick I taught you to solve this

(5/3y)-(2(3y)/3y) - (4(3y)/9y(3y)) - ((3y)(4)^(1/2)/(3y))

Answer 2

note

(4)^(1/2) is the same as \[\sqrt{4}\]

Answer 3

so you have (5 - 2(3y) - 3y(4)^(1/2))(9y)/3y(9y) - (4(3y)/9y(3y))

Answer 4

=
9y(5 - 2(3y) - 3y(4)^(1/2)) - 4(3y))/3y(9y)

Answer 5

now you can just simplify

Answer 6

ok hold on im trying to catch up

Answer 7

is it all over 3y/9y?

Answer 8

the denominator is 3y(9y)

Answer 9

the neumorator is
9y(5 - 2(3y) - 3y(4)^(1/2)) - 4(3y)

Answer 10

you have to distribute the 9y

Answer 11

so 21y over 27y^2

Answer 12

let me actually work it out :\

Answer 13

9y(5) - 2(3y)(9y) - 3y(9y)2 - 4(3y)
=
(33y - 108y^(2))/27y^(2)

Answer 14

so you have

33y/27y^(2) - 108y^(2)/27y^(2)

so you can simplify further