SOLUTION: Can someone assist in helping with this problem? 3y^2 - 2 _________ 3y^2 + 10y - 8 minus y + 10 ________ 3y^2 + 10y - 8 minus y^2 - 6y _________ 3y^2 + 10y - 8

Algebra ->  Expressions -> SOLUTION: Can someone assist in helping with this problem? 3y^2 - 2 _________ 3y^2 + 10y - 8 minus y + 10 ________ 3y^2 + 10y - 8 minus y^2 - 6y _________ 3y^2 + 10y - 8      Log On


   



Question 675272: Can someone assist in helping with this problem?
3y^2 - 2
_________
3y^2 + 10y - 8
minus
y + 10
________
3y^2 + 10y - 8
minus
y^2 - 6y
_________
3y^2 + 10y - 8
Equals =

Found 3 solutions by ReadingBoosters, stanbon, MathLover1:
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!

...
%28%283y%5E2-2%29+-+%28y%2B10%29+-+%28y%5E2-6y%29%29%2F%283y%5E2%2B10y-8%29
...
distribute the negatives
%283y%5E2+-+2+-+y+-+10+-+y%5E2+%2B+6y%29%2F%283y%5E2+%2B+10y+-+8%29
...
Combine like terms
%282y%5E2+%2B+5y+-+12%29%2F%283y%5E2%2B10y-8%29
...

.....................
Delighted to help.
-Reading Boosters
Website: www.MyHomeworkAnswers.com
Wanting for others what we want for ourselves.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
(3y^2 - 2)/(3y^2 + 10y - 8)
- (y + 10)/(3y^2 + 10y - 8)
- (y^2 - 6y)/(3y^2 + 10y - 8)
-------------------------------------
The denominators are all the same, so combine the numerators
over the common denominator::
---
= [3y^2-2-y-10-y^2+6y]/(3y^2+10y-8)
----
= (2y^2 +5y -12)/(3y^2+10y-8)
----
Factor:
= (2y^2+8y-3y-12)/(3y^2+12y-2y-8)
-----
= (2y(y+4)-3(y+4))/(3y(y+4)-2(y+4))
-----
= [(y+4)(2y-3)]/[(y+4)(3y-2)]
-------
= (2y-3)/(3y-2)
========================
cheers,
Stan H.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

............common denominator is %283y%5E2+%2B+10y+-+8%29

=%28%283y%5E2+-+2%29+-%28y+%2B+10%29-%28y%5E2+-+6y%29%29%2F%283y%5E2+%2B+10y+-+8%29

=%283y%5E2+-+2+-y+-+10-y%5E2+%2B+6y%29%2F%283y%5E2+%2B+10y+-+8%29

=%282y%5E2%2B5y+-12%29%2F%283y%5E2+%2B+10y+-+8%29.........factor completely nominator (replace 5y with -3y%2B8y) and denominator (replace 10y with -2y%2B12y)

=%282y%5E2-3y%2B8y+-12%29%2F%283y%5E2+-2y%2B12y+-+8%29....group

=%28%282y%5E2-3y%29%2B%288y+-12%29%29%2F%28%283y%5E2+-2y%29%2B%2812y+-+8%29%29

=%28y%282y-3%29%2B4%282y+-3%29%29%2F%28y%283y+-2%29%2B4%283y+-+2%29%29

=%28%28y%2B4%29%282y+-3%29%29%2F%28%28y%2B4%29%283y+-+2%29%29

=%28cross%28%28y%2B4%29%29%282y+-3%29%29%2F%28cross%28%28y%2B4%29%29%283y+-+2%29%29
=%282y+-3%29%2F%283y+-+2%29