What is ((n^2+7n+10))/((n+5)) ?

The solution to ((n^2+7n+10))/((n+5)) is n+2

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simplify ((n^2+7n+10))/((n+5))

simplify

\frac{( n ^{2} + 7 n + 10 )}{( n + 5 )}

n + 2

Solution steps

\frac{n ^{2} + 7 n + 10}{n + 5}

Factor

n^{2} + 7 n + 10 : (n + 2) (n + 5)

= \frac{( n + 2 ) ( n + 5 )}{n + 5}

Cancel the common factor:

n + 5

= n + 2

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