what is the difference in simplest form n^2+3n+2/n^2+7n+10 - 2n/n+5

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30-04-2018
Mathematics

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what is the difference in simplest form n^2+3n+2/n^2+7n+10 - 2n/n+5

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CastleRook CastleRook · Answer 1 · 2018-05-10T14:04:45+02:00

CastleRook CastleRook

10-05-2018

The simplest form of the function will be given by:
n^2+3n+2/n^2+7n+10 - 2n/n+5
=[(n+1)(n+2)]/[(n+5)(n+2)]-2n/(n+5)
=(n+1)/(n+5)-2n/(n+5)
=[n+1-2n]/(n+5)
=(1-n)/(n+5)

Answer: (1-n)/(n+5)

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