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\frac{w+1}{w^{2}+2w+7}
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\frac{w+1}{w^{2}+2w+7}
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\frac{3w+5-2w-4}{w^{2}+2w+7}
Since \frac{3w+5}{w^{2}+2w+7} and \frac{-2w-4}{w^{2}+2w+7} have the same denominator, add them by adding their numerators.
\frac{w+1}{w^{2}+2w+7}
Combine like terms in 3w+5-2w-4.
\frac{3w+5-2w-4}{w^{2}+2w+7}
Since \frac{3w+5}{w^{2}+2w+7} and \frac{-2w-4}{w^{2}+2w+7} have the same denominator, add them by adding their numerators.
\frac{w+1}{w^{2}+2w+7}
Combine like terms in 3w+5-2w-4.
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