(y-2)/(y+3)-(y)/(2y+6)?

Question

Subtract. Write your answer in simplest form.
(y-2)/(y+3)-(y)/(2y+6)

Answer 1

Greeting,

(y-4)/(2y + 6)

Because 2y + 6 = 2(y+3) so the common denominator is 2y + 6

so multiply (y-2)/(y+3) by 2/2 to get

2y - 4 - y
------------
2y + 6

y - 4
--------
2y + 6


Regards

Answer 2

If you factor the very last denominator, you will get 2(y+3). You have two denominators: the first is (y+3) and the second is 2(y+3). Your common denominator is 2(y+3) so the second fraction is already done for us.

Multiply the first fraction by 2/2 so you can get the common denominator.

Now you have (2y-4) / [2(y+3)] minus y / [2(y+3)].

When you subtract the numerator of the second fraction from the numerator of the first fraction, you get 2y - 4 - y which simplifies to y - 4.

Nothing reduces so your answer is

(y - 4) / [2(y+3)]

Answer 3

You need a common denominator. To get this, mulitply the first part by (2y+6)/(2y+6) [which equals 1], and the second part by (y+3)/(y+3). You'll have a common denominator of (y+3)(2y+6) or (2y² + 12y + 18). Then you add the tops, and combine like terms. Good luck!

Answer 4

y-2/y+3 -y /2(y+3)

2(y+3) is the lcd

2(y-2)-y= 2y-4-y=y-4/ 2(y+3)=

y-4/2y+6

Answer 5

[(y - 2)/(y + 3)]*(2/2) - y/(2y + 6)
(2y - 4 - y)/(2y + 6)
(y - 4)/(2y + 6)