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Simplify rational expression

Simplify the rational expression (Show All work)
 
x^2-8x-48/x+4

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Vivian L. | Microsoft Word/Excel/Outlook, essay composition, math; I LOVE TO TEACHMicrosoft Word/Excel/Outlook, essay comp...
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Hi Again Theresa;
x2-8x-48/x+4
 
Let's factor...
x2-8x-48
 
For the simplification process, one parenthetical equation must =(x+4)
For the LAST of FOIL, 4 x -12=-48
For the INNER and OUTER of FOIL, 4x-12x=-8x
So...
(x-12)(x+4)
 
Let's simplify...
[(x-12)(x+4)]/(x+4)
Let's cancel where appropriate...
[(x-12)(x+4)]/(x+4)=x-12