# How do you simplify (a^2 + 5a + 4) / (a + 4 ) * (a + 5) /( a^2 + 6a + 5)?

Oct 18, 2015

$1$

#### Explanation:

(a^2 + 5a + 4)/(a+4 $\cdot$ (a + 5)/ (a^2 + 6a + 5

= $\frac{\left(a + 4\right) \left(a + 1\right)}{a + 4}$ $\cdot$ (a + 5)/((a + 5)(a + 1)

Cancel out all the same binomial upward and downward and cross.

Then the answer is $1$