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\frac{7}{b+4}
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\frac{7}{b+4}
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\frac{7}{b^{2}+5b+4}\times \frac{\left(b+1\right)\left(b+7\right)}{b+7}
Factor the expressions that are not already factored in \frac{b^{2}+8b+7}{b+7}.
\frac{7}{b^{2}+5b+4}\left(b+1\right)
Cancel out b+7 in both numerator and denominator.
\frac{7\left(b+1\right)}{b^{2}+5b+4}
Express \frac{7}{b^{2}+5b+4}\left(b+1\right) as a single fraction.
\frac{7\left(b+1\right)}{\left(b+1\right)\left(b+4\right)}
Factor the expressions that are not already factored.
\frac{7}{b+4}
Cancel out b+1 in both numerator and denominator.
\frac{7}{b^{2}+5b+4}\times \frac{\left(b+1\right)\left(b+7\right)}{b+7}
Factor the expressions that are not already factored in \frac{b^{2}+8b+7}{b+7}.
\frac{7}{b^{2}+5b+4}\left(b+1\right)
Cancel out b+7 in both numerator and denominator.
\frac{7\left(b+1\right)}{b^{2}+5b+4}
Express \frac{7}{b^{2}+5b+4}\left(b+1\right) as a single fraction.
\frac{7\left(b+1\right)}{\left(b+1\right)\left(b+4\right)}
Factor the expressions that are not already factored.
\frac{7}{b+4}
Cancel out b+1 in both numerator and denominator.
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Limits
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