SOLUTION: How could you factor this expression: (2x-y)(x+y)-3y-2

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Question 48018: How could you factor this expression:
(2x-y)(x+y)-3y-2
Answer by ChillyWiz282(3) About Me  (Show Source):
You can put this solution on YOUR website!
Simplfying this problem by Distrubtion gives us: 2x^2+2xy-xy-y^2-3y-2
which then is further simplified to 2x^2-y^2+xy-3*y-2
Using the quadatric formula and solving for y gives
y+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
a= -1
b= x-3
c= 2x^2-2
A factor of the equation can be written as (y - ( -b + sqrt( b^2-4*a*c ))/(2*a))
The other one for the equation is (y - ( -b - sqrt( b^2-4*a*c ))/(2*a))
The graph of this function is a hyperbola