SOLUTION: simplify/Reduce x^2-x-12 _________ 16-x^2

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Question 31600: simplify/Reduce
x^2-x-12
_________
16-x^2
Answer by mukhopadhyay(490) About Me  (Show Source):
You can put this solution on YOUR website!
(x^2-x-12)/(16-x^2)
=(x^2-4x+3x-12)/(4^2-x^2)
=[(x-4)(x+3)/(4+x)(4-x)]
=[-(4-x)(x+3)/(4+x)(4-x)]
=-(x+3)/(4+x)