Question

subtracting rational expressions with different denominators

3x-2y 3x-y
------ - -------- + 2
6x 4x

Answer 1

so far I have this but I believe its wrong because I am unsure of the signs


3x-2y 3x-y
------ - -------- + 2
6x 4x


= 3x-2y (2) 3x-y (3)
------ - -------- + (2) (6x)
6x (2) 4x (3) ( 2) (6x)


6x-4y - 9x-3y + 12x
______ _______ ___
12x 12x 12x



6x-4y - 9x-3y + 12x
----------------------
12x

Answer 2

So there is a +2 at the end?

Answer 3

If so, you need to multiply 2/1 by 12x since that is what the other denominators turn out to be.

Answer 4

What y ou (Ichigo) have done looks fine to me.

Answer 5

3x-2y 3x-y
------ - -------- + 2
6x 4x


= 3x-2y (2) 3x-y (3)
------ - -------- + (2) (12x)
6x (2) 4x (3) ( 1) (12x) Corrected here


6x-4y - 9x-3y + 24x corrected here
______ _______ ___
12x 12x 12x



6x-4y - 9x-3y + 24x (6x-9x+24x) + (-4y +3y) 21x - y
---------------------- = -------------------- = ---------
12x 12x 12x