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

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

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

simplify

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

y + 2

Solution steps

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

Factor

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

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

Cancel the common factor:

y + 5

= y + 2

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