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

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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)   (Show Source): You can put this solution on YOUR website!

...

...
distribute the negatives

...
Combine like terms

...

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

Answer by stanbon(75887)   (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)   (Show Source): You can put this solution on YOUR website!

............common denominator is

=

=

=.........factor completely nominator (replace with ) and denominator (replace with )

=....group

=

=

=

=
=





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