SOLUTION: {{{8/(y^2-64)- (y-5)/(2y^2-15y-8)}}}

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Question 190789: 8%2F%28y%5E2-64%29-+%28y-5%29%2F%282y%5E2-15y-8%29
Found 2 solutions by stanbon, Alan3354:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
8/(y^2-64)- (y-5)/(2y^2-15y-8)
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Factor:
[8/(y-8)(y+8)] - [(y-5)/(2y+1)(y-8)]
---
lcd = (y-8)(y+8)(2y+1)
---
Rewrite each fraction with the lcd as its denominator:
[8(2y+1)/lcd] - [(y-5)(y+8)/lcd]
---
Combine the numerators over the lcd:
[16y+8 - (y^2+3y-40)]/lcd
---
[16y + 8 - y^2 -3y + 40]/lcd
----
-[y^2 - 13y - 48]/lcd
Factor:
-[(y-16)(y+3)]/lcd
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Cheers,
Stan H.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
8%2F%28y%5E2-64%29-+%28y-5%29%2F%282y%5E2-15y-8%29
= 8%2F%28%28y-8%29%2A%28y%2B8%29%29+-+%28y-5%29%2F%28%282y%2B1%29%2A%28y-8%29%29
LCD = (y-8)*(y+8)*2y+1)
----------------
= 8%2A%282y%2B1%29%2FLCD+-+%28y-5%29%2A%28y%2B8%29%2FLCD
= 16y+%2B+8+-+y%5E2+-+3y+%2B+40%29%2FLCD
= %28-y%5E2+%2B+13y+%2B+48%29%2FLCD
= -%28y%5E2+-+13y+-+48%29%2F%28%28y-8%29%2A%28y%2B8%29%2A2y%2B1%29%29